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21313002233322 = 234236911827677
BaseRepresentation
bin1001101100010010100011…
…11011010101110111101010
32210110111120202210211220000
410312021101323111313222
510243143012032431242
6113155020312443430
74326546030612132
oct466112173256752
983414522724800
1021313002233322
11687788014a5a8
1224827293a9576
13bb7a66082557
145397aa593ac2
1526e6004eea4c
hex136251ed5dea

21313002233322 has 80 divisors (see below), whose sum is σ = 49840570847232. Its totient is φ = 6794458498080.

The previous prime is 21313002233311. The next prime is 21313002233323. The reversal of 21313002233322 is 22333220031312.

21313002233322 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 300 + 2 + 2 + 33 + 322 = 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 (21313002233323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25336548 + ... + 26164224.

Almost surely, 221313002233322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313002233322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24920285423616).

21313002233322 is an abundant number, since it is smaller than the sum of its proper divisors (28527568613910).

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

21313002233322 is a wasteful number, since it uses less digits than its factorization.

21313002233322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834625 (or 834616 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 21313002233322 its reverse (22333220031312), we get a palindrome (43646222264634).

The spelling of 21313002233322 in words is "twenty-one trillion, three hundred thirteen billion, two million, two hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 6911 13822 20733 41466 62199 124398 158953 186597 317906 373194 476859 559791 827677 953718 1119582 1430577 1655354 2483031 2861154 4291731 4966062 7449093 8583462 12875193 14898186 19036571 22347279 25750386 38073142 44694558 57109713 67041837 114219426 134083674 171329139 342658278 513987417 1027974834 1541962251 3083924502 5720075747 11440151494 17160227241 34320454482 51480681723 102961363446 131561742181 154442045169 263123484362 308884090338 394685226543 463326135507 789370453086 926652271014 1184055679629 2368111359258 3552167038887 7104334077774 10656501116661 21313002233322