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21330313312 = 2571112776779
BaseRepresentation
bin10011110111011000…
…101100000001100000
32001001112202012001011
4103313120230001200
5322141030011222
613444330350304
71353404446240
oct236730540140
961045665034
1021330313312
119056451110
12417358b394
13201c197389
141064c57b20
1584c947c77
hex4f762c060

21330313312 has 96 divisors (see below), whose sum is σ = 52404952320. Its totient is φ = 8302778880.

The previous prime is 21330313283. The next prime is 21330313351. The reversal of 21330313312 is 21331303312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3143139 + ... + 3149917.

It is an arithmetic number, because the mean of its divisors is an integer number (545884920).

Almost surely, 221330313312 is an apocalyptic number.

21330313312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26202476160).

21330313312 is an abundant number, since it is smaller than the sum of its proper divisors (31074639008).

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

21330313312 is a wasteful number, since it uses less digits than its factorization.

21330313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 21330313312 its reverse (21331303312), we get a palindrome (42661616624).

The spelling of 21330313312 in words is "twenty-one billion, three hundred thirty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1277 2464 2554 5108 6779 8939 10216 13558 14047 17878 20432 27116 28094 35756 40864 47453 54232 56188 71512 74569 94906 98329 108464 112376 143024 149138 189812 196658 216928 224752 286048 298276 379624 393316 449504 521983 596552 759248 786632 1043966 1193104 1518496 1573264 2087932 2386208 3146528 4175864 8351728 8656783 16703456 17313566 34627132 60597481 69254264 95224613 121194962 138508528 190449226 242389924 277017056 380898452 484779848 666572291 761796904 969559696 1333144582 1523593808 1939119392 2666289164 3047187616 5332578328 10665156656 21330313312