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12220331202100 = 2252731355775131
BaseRepresentation
bin1011000111010100010010…
…0000000001011000110100
31121021020210220002212102001
42301311010200001120310
53100204214241431400
641553535340225044
72400614125226140
oct261650440013064
947236726085361
1012220331202100
11399168242006a
12145447023b184
136a84abbba658
14303677d5c220
15162d2b234a6a
hexb1d44801634

12220331202100 has 72 divisors (see below), whose sum is σ = 30403247553728. Its totient is φ = 4176441734400.

The previous prime is 12220331202077. The next prime is 12220331202109. The reversal of 12220331202100 is 120213302221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220331202109) 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, 27668466 + ... + 28106665.

Almost surely, 212220331202100 is an apocalyptic number.

12220331202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220331202100 is an abundant number, since it is smaller than the sum of its proper divisors (18182916351628).

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

12220331202100 is a wasteful number, since it uses less digits than its factorization.

12220331202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55775465 (or 55775458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12220331202100 its reverse (120213302221), we get a palindrome (12340544504321).

The spelling of 12220331202100 in words is "twelve trillion, two hundred twenty billion, three hundred thirty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 313 350 626 700 1252 1565 2191 3130 4382 6260 7825 8764 10955 15650 21910 31300 43820 54775 109550 219100 55775131 111550262 223100524 278875655 390425917 557751310 780851834 1115502620 1394378275 1561703668 1952129585 2788756550 3904259170 5577513100 7808518340 9760647925 17457616003 19521295850 34915232006 39042591700 69830464012 87288080015 122203312021 174576160030 244406624042 349152320060 436440400075 488813248084 611016560105 872880800150 1222033120210 1745761600300 2444066240420 3055082800525 6110165601050 12220331202100