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22133013201 = 32131737329833
BaseRepresentation
bin10100100111001110…
…101111101011010001
32010010111011120021200
4110213032233223101
5330312022410301
614100123141413
71412322336165
oct244716575321
963114146250
1022133013201
119428566452
124358374869
132119584120
1410dd6c6ca5
15898154c86
hex5273afad1

22133013201 has 48 divisors (see below), whose sum is σ = 36553332816. Its totient is φ = 12784324608.

The previous prime is 22133013193. The next prime is 22133013223. The reversal of 22133013201 is 10231033122.

It can be written as a sum of positive squares in 8 ways, for example, as 87890625 + 22045122576 = 9375^2 + 148476^2 .

It is not a de Polignac number, because 22133013201 - 23 = 22133013193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22133013281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726981 + ... + 756813.

It is an arithmetic number, because the mean of its divisors is an integer number (761527767).

Almost surely, 222133013201 is an apocalyptic number.

It is an amenable number.

22133013201 is a deficient number, since it is larger than the sum of its proper divisors (14420319615).

22133013201 is a wasteful number, since it uses less digits than its factorization.

22133013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30242 (or 30239 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22133013201 its reverse (10231033122), we get a palindrome (32364046323).

The spelling of 22133013201 in words is "twenty-two billion, one hundred thirty-three million, thirteen thousand, two hundred one".

Divisors: 1 3 9 13 17 39 51 117 153 221 373 663 1119 1989 3357 4849 6341 14547 19023 29833 43641 57069 82433 89499 247299 268497 387829 507161 741897 1163487 1521483 3490461 4564449 6593093 11127709 19779279 33383127 59337837 100149381 144660217 189171053 433980651 567513159 1301941953 1702539477 2459223689 7377671067 22133013201