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21303113223312 = 24333110331539917
BaseRepresentation
bin1001101100000000001000…
…11111110000110010010000
32210102120001120220002102000
410312000010133300302100
510243012233441121222
6113150303132554000
74326046001454144
oct466000437606220
983376046802360
1021303113223312
116873666052a58
122480829622900
13bb6b4b385c3b
1453910d083224
1526e2222679ac
hex1360047f0c90

21303113223312 has 160 divisors (see below), whose sum is σ = 63181480412160. Its totient is φ = 6865315107840.

The previous prime is 21303113223269. The next prime is 21303113223317. The reversal of 21303113223312 is 21332231130312.

21303113223312 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 1 + 1 + 322 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21303113223317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13063978 + ... + 14603894.

It is an arithmetic number, because the mean of its divisors is an integer number (394884252576).

Almost surely, 221303113223312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303113223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590740206080).

21303113223312 is an abundant number, since it is smaller than the sum of its proper divisors (41878367188848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21303113223312 is a wasteful number, since it uses less digits than its factorization.

21303113223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540998 (or 1540986 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21303113223312 its reverse (21332231130312), we get a palindrome (42635344353624).

The spelling of 21303113223312 in words is "twenty-one trillion, three hundred three billion, one hundred thirteen million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1033 1116 1488 1674 2066 2232 3099 3348 4132 4464 6198 6696 8264 9297 12396 13392 16528 18594 24792 27891 32023 37188 49584 55782 64046 74376 96069 111564 128092 148752 192138 223128 256184 288207 384276 446256 512368 576414 768552 864621 1152828 1537104 1539917 1729242 2305656 3079834 3458484 4611312 4619751 6159668 6916968 9239502 12319336 13833936 13859253 18479004 24638672 27718506 36958008 41577759 47737427 55437012 73916016 83155518 95474854 110874024 143212281 166311036 190949708 221748048 286424562 332622072 381899416 429636843 572849124 665244144 763798832 859273686 1145698248 1288910529 1590734261 1718547372 2291396496 2577821058 3181468522 3437094744 4772202783 5155642116 6362937044 6874189488 9544405566 10311284232 12725874088 14316608349 19088811132 20622568464 25451748176 28633216698 38177622264 42949825047 49312762091 57266433396 76355244528 85899650094 98625524182 114532866792 147938286273 171799300188 197251048364 229065733584 295876572546 343598600376 394502096728 443814858819 591753145092 687197200752 789004193456 887629717638 1183506290184 1331444576457 1775259435276 2367012580368 2662889152914 3550518870552 5325778305828 7101037741104 10651556611656 21303113223312