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13022222100032 = 261958718243721
BaseRepresentation
bin1011110101111111100011…
…1011000010011001000000
31201002220122001022011201102
42331133320323002121000
53201324002324200112
643410154245153532
72512552542341135
oct275377073023100
951086561264642
1013022222100032
114170769983422
1215639639bb8a8
13735cb4831932
143303c949c58c
15178b10537bc2
hexbd7f8ec2640

13022222100032 has 56 divisors (see below), whose sum is σ = 27247363681440. Its totient is φ = 6157912273920.

The previous prime is 13022222099963. The next prime is 13022222100059. The reversal of 13022222100032 is 23000122222031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13022222099977 and 13022222100013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8408069 + ... + 9835652.

It is an arithmetic number, because the mean of its divisors is an integer number (486560065740).

Almost surely, 213022222100032 is an apocalyptic number.

It is an amenable number.

13022222100032 is an abundant number, since it is smaller than the sum of its proper divisors (14225141581408).

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

13022222100032 is a wasteful number, since it uses less digits than its factorization.

13022222100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18244339 (or 18244329 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13022222100032 its reverse (23000122222031), we get a palindrome (36022344322063).

The spelling of 13022222100032 in words is "thirteen trillion, twenty-two billion, two hundred twenty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 587 608 1174 1216 2348 4696 9392 11153 18784 22306 37568 44612 89224 178448 356896 713792 18243721 36487442 72974884 145949768 291899536 346630699 583799072 693261398 1167598144 1386522796 2773045592 5546091184 10709064227 11092182368 21418128454 22184364736 42836256908 85672513816 171345027632 203472220313 342690055264 406944440626 685380110528 813888881252 1627777762504 3255555525008 6511111050016 13022222100032