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42100210252 = 22172232954601
BaseRepresentation
bin100111001101010111…
…100011101001001100
311000200000222021100101
4213031113203221030
51142210123212002
631201321340444
73020165611522
oct471527435114
9130600867311
1042100210252
11169445200a1
1281ab337724
133c7c215019
1420754b0312
151166091587
hex9cd5e3a4c

42100210252 has 72 divisors (see below), whose sum is σ = 84484582560. Its totient is φ = 18296678400.

The previous prime is 42100210237. The next prime is 42100210253. The reversal of 42100210252 is 25201200124.

It is not an unprimeable number, because it can be changed into a prime (42100210253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743752 + ... + 798352.

It is an arithmetic number, because the mean of its divisors is an integer number (1173396980).

Almost surely, 242100210252 is an apocalyptic number.

It is an amenable number.

42100210252 is an abundant number, since it is smaller than the sum of its proper divisors (42384372308).

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

42100210252 is a wasteful number, since it uses less digits than its factorization.

42100210252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54691 (or 54672 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 42100210252 its reverse (25201200124), we get a palindrome (67301410376).

The spelling of 42100210252 in words is "forty-two billion, one hundred million, two hundred ten thousand, two hundred fifty-two".

Divisors: 1 2 4 17 23 29 34 46 58 68 92 116 289 391 493 578 667 782 986 1156 1334 1564 1972 2668 6647 8381 11339 13294 16762 22678 26588 33524 45356 54601 109202 192763 218404 385526 771052 928217 1255823 1583429 1856434 2511646 3166858 3712868 5023292 6333716 15779689 21348991 26918293 31559378 36418867 42697982 53836586 63118756 72837734 85395964 107673172 145675468 362932847 457610981 619120739 725865694 915221962 1238241478 1451731388 1830443924 2476482956 10525052563 21050105126 42100210252