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210233211123232 = 25115214441258131
BaseRepresentation
bin101111110011010010111011…
…110111100111011000100000
31000120101002122221201212020101
4233303102323313213120200
5210023430104021420412
62023043445350152144
762165563645553233
oct5763227367473040
91016332587655211
10210233211123232
1160a94449a01a50
121b6b4731052654
13903cba316307b
1439cb4ad92141a
1519489ace29457
hexbf34bbde7620

210233211123232 has 96 divisors (see below), whose sum is σ = 452493868857408. Its totient is φ = 95355287040000.

The previous prime is 210233211123227. The next prime is 210233211123239. The reversal of 210233211123232 is 232321112332012.

It is a self number, because there is not a number n which added to its sum of digits gives 210233211123232.

It is not an unprimeable number, because it can be changed into a prime (210233211123239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814314807 + ... + 814572937.

It is an arithmetic number, because the mean of its divisors is an integer number (4713477800598).

Almost surely, 2210233211123232 is an apocalyptic number.

210233211123232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210233211123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226246934428704).

210233211123232 is an abundant number, since it is smaller than the sum of its proper divisors (242260657734176).

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

210233211123232 is a wasteful number, since it uses less digits than its factorization.

210233211123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263114 (or 263106 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 210233211123232 its reverse (232321112332012), we get a palindrome (442554323455244).

The spelling of 210233211123232 in words is "two hundred ten trillion, two hundred thirty-three billion, two hundred eleven million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 521 1042 2084 4168 4441 5731 8336 8882 11462 16672 17764 22924 35528 45848 48851 71056 91696 97702 142112 183392 195404 258131 390808 516262 781616 1032524 1563232 2065048 2313761 2839441 4130096 4627522 5678882 8260192 9255044 11357764 18510088 22715528 25451371 37020176 45431056 50902742 74040352 90862112 101805484 134486251 203610968 268972502 407221936 537945004 814443872 1075890008 1146359771 1479348761 2151780016 2292719542 2958697522 4303560032 4585439084 5917395044 9170878168 11834790088 12609957481 18341756336 23669580176 25219914962 36683512672 47339160352 50439829924 100879659848 201759319696 403518639392 597253440691 1194506881382 2389013762764 4778027525528 6569787847601 9556055051056 13139575695202 19112110102112 26279151390404 52558302780808 105116605561616 210233211123232