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10201211232 = 2531995231021
BaseRepresentation
bin10011000000000101…
…00010000101100000
3222022221101020001020
421200002202011200
5131343002224412
64404131205440
7510536602422
oct114002420540
928287336036
1010201211232
114365354a93
121b88446880
13c675a9b84
146cab7c812
153ea8a618c
hex2600a2160

10201211232 has 96 divisors (see below), whose sum is σ = 26990611200. Its totient is φ = 3373539840.

The previous prime is 10201211221. The next prime is 10201211243. The reversal of 10201211232 is 23211210201.

It is an interprime number because it is at equal distance from previous prime (10201211221) and next prime (10201211243).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9990882 + ... + 9991902.

It is an arithmetic number, because the mean of its divisors is an integer number (281152200).

Almost surely, 210201211232 is an apocalyptic number.

10201211232 is a gapful number since it is divisible by the number (12) 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 10201211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495305600).

10201211232 is an abundant number, since it is smaller than the sum of its proper divisors (16789399968).

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

10201211232 is a wasteful number, since it uses less digits than its factorization.

10201211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10201211232 its reverse (23211210201), we get a palindrome (33412421433).

The spelling of 10201211232 in words is "ten billion, two hundred one million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 523 597 796 1021 1046 1194 1569 1592 2042 2092 2388 3063 3138 3184 4084 4184 4776 6126 6276 6368 8168 8368 9552 12252 12552 16336 16736 19104 24504 25104 32672 49008 50208 98016 104077 203179 208154 312231 406358 416308 533983 609537 624462 812716 832616 1067966 1219074 1248924 1601949 1625432 1665232 2135932 2438148 2497848 3203898 3250864 3330464 4271864 4876296 4995696 6407796 6501728 8543728 9752592 9991392 12815592 17087456 19505184 25631184 51262368 106262617 212525234 318787851 425050468 637575702 850100936 1275151404 1700201872 2550302808 3400403744 5100605616 10201211232