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12232132100 = 22521675631301
BaseRepresentation
bin10110110010001011…
…11000011000000100
31011120110220200201122
423121011320120010
5200022411211400
65341441013112
7612060256466
oct133105703004
934513820648
1012232132100
1152077a0991
122454624198
1311cc28c3b6
148407a6136
154b8d25685
hex2d9178604

12232132100 has 72 divisors (see below), whose sum is σ = 26770661568. Its totient is φ = 4851184000.

The previous prime is 12232132097. The next prime is 12232132103. The reversal of 12232132100 is 123123221.

It is an interprime number because it is at equal distance from previous prime (12232132097) and next prime (12232132103).

It is not an unprimeable number, because it can be changed into a prime (12232132103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9401450 + ... + 9402750.

It is an arithmetic number, because the mean of its divisors is an integer number (371814744).

Almost surely, 212232132100 is an apocalyptic number.

12232132100 is a gapful number since it is divisible by the number (10) 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 12232132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13385330784).

12232132100 is an abundant number, since it is smaller than the sum of its proper divisors (14538529468).

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

12232132100 is a wasteful number, since it uses less digits than its factorization.

12232132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12232132100 its reverse (123123221), we get a palindrome (12355255321).

The spelling of 12232132100 in words is "twelve billion, two hundred thirty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 563 668 835 1126 1301 1670 2252 2602 2815 3340 4175 5204 5630 6505 8350 11260 13010 14075 16700 26020 28150 32525 56300 65050 94021 130100 188042 217267 376084 434534 470105 732463 869068 940210 1086335 1464926 1880420 2172670 2350525 2929852 3662315 4345340 4701050 5431675 7324630 9402100 10863350 14649260 18311575 21726700 36623150 73246300 122321321 244642642 489285284 611606605 1223213210 2446426420 3058033025 6116066050 12232132100