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100221124113 = 321121574191399
BaseRepresentation
bin101110101010110100…
…1001111111000010001
3100120200120201121111200
41131111221033320101
53120223101432423
6114012502301413
710145400333135
oct1352551177021
9316616647450
10100221124113
113955a236a00
121750ba27869
1395b2581a06
144bca5813c5
152918867d43
hex1755a4fe11

100221124113 has 72 divisors (see below), whose sum is σ = 160631016000. Its totient is φ = 60166117440.

The previous prime is 100221124093. The next prime is 100221124127. The reversal of 100221124113 is 311421122001.

It is not a de Polignac number, because 100221124113 - 218 = 100220861969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100221124313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71636988 + ... + 71638386.

Almost surely, 2100221124113 is an apocalyptic number.

It is an amenable number.

100221124113 is a deficient number, since it is larger than the sum of its proper divisors (60409891887).

100221124113 is a wasteful number, since it uses less digits than its factorization.

100221124113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100221124113 its reverse (311421122001), we get a palindrome (411642246114).

The spelling of 100221124113 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 99 121 157 363 419 471 1089 1257 1399 1413 1727 3771 4197 4609 5181 12591 13827 15389 15543 18997 41481 46167 50699 56991 65783 138501 152097 169279 170973 197349 219643 456291 507837 586181 592047 658929 723613 1523511 1758543 1976787 2170839 2416073 5275629 6447991 6512517 7248219 7959743 19343973 21744657 23879229 26576803 58031919 70927901 71637687 79730409 92030417 212783703 239191227 276091251 638351109 828273753 1012334587 3037003761 9111011283 11135680457 33407041371 100221124113