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12210022100 = 22528311291303
BaseRepresentation
bin10110101111100011…
…00010011011010100
31011111221022101111202
423113301202123110
5200001231201400
65335331052032
7611401322033
oct132761423324
934457271452
1012210022100
1151a626a361
122449141018
1311c781a763
1483b88c71a
154b6e094d5
hex2d7c626d4

12210022100 has 72 divisors (see below), whose sum is σ = 26859322560. Its totient is φ = 4817191680.

The previous prime is 12210022073. The next prime is 12210022127. The reversal of 12210022100 is 122001221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12210022073) and next prime (12210022127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9370049 + ... + 9371351.

Almost surely, 212210022100 is an apocalyptic number.

12210022100 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 12210022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429661280).

12210022100 is an abundant number, since it is smaller than the sum of its proper divisors (14649300460).

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

12210022100 is a wasteful number, since it uses less digits than its factorization.

12210022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12210022100 its reverse (122001221), we get a palindrome (12332023321).

The spelling of 12210022100 in words is "twelve billion, two hundred ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1129 1303 1660 2075 2258 2606 4150 4516 5212 5645 6515 8300 11290 13030 22580 26060 28225 32575 56450 65150 93707 108149 112900 130300 187414 216298 374828 432596 468535 540745 937070 1081490 1471087 1874140 2162980 2342675 2703725 2942174 4685350 5407450 5884348 7355435 9370700 10814900 14710870 29421740 36777175 73554350 122100221 147108700 244200442 488400884 610501105 1221002210 2442004420 3052505525 6105011050 12210022100