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20213002329 = 3131738379601
BaseRepresentation
bin10010110100110010…
…011111000001011001
31221011200022220111220
4102310302133001121
5312344012033304
613141414442253
71313616453642
oct226462370131
957150286456
1020213002329
118632792903
123b01363389
131ba1865210
14d9a6d06c9
157d47e2ad9
hex4b4c9f059

20213002329 has 32 divisors (see below), whose sum is σ = 30811705344. Its totient is φ = 11676364800.

The previous prime is 20213002307. The next prime is 20213002333. The reversal of 20213002329 is 92320031202.

It is not a de Polignac number, because 20213002329 - 25 = 20213002297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20213002299 and 20213002308.

It is not an unprimeable number, because it can be changed into a prime (20213002129) 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, 214129 + ... + 293729.

It is an arithmetic number, because the mean of its divisors is an integer number (962865792).

Almost surely, 220213002329 is an apocalyptic number.

It is an amenable number.

20213002329 is a deficient number, since it is larger than the sum of its proper divisors (10598703015).

20213002329 is a wasteful number, since it uses less digits than its factorization.

20213002329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80017.

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 20213002329 in words is "twenty billion, two hundred thirteen million, two thousand, three hundred twenty-nine".

Divisors: 1 3 13 17 39 51 221 383 663 1149 4979 6511 14937 19533 79601 84643 238803 253929 1034813 1353217 3104439 4059651 17591821 30487183 52775463 91461549 396333379 518282111 1189000137 1554846333 6737667443 20213002329