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10011201213 = 31321719113541
BaseRepresentation
bin10010101001011011…
…01100111010111101
3221211200211201022010
421110231230322331
5131000331414323
64333222441433
7503041543356
oct112455547275
927750751263
1010011201213
114278075712
121b34893279
13c3710ca00
146ad83ad2d
153d8d71c93
hex254b6cebd

10011201213 has 96 divisors (see below), whose sum is σ = 16282373760. Its totient is φ = 5434490880.

The previous prime is 10011201209. The next prime is 10011201229. The reversal of 10011201213 is 31210211001.

It is not a de Polignac number, because 10011201213 - 22 = 10011201209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011201313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18504723 + ... + 18505263.

It is an arithmetic number, because the mean of its divisors is an integer number (169608060).

Almost surely, 210011201213 is an apocalyptic number.

10011201213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10011201213 is a deficient number, since it is larger than the sum of its proper divisors (6271172547).

10011201213 is a wasteful number, since it uses less digits than its factorization.

10011201213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10011201213 its reverse (31210211001), we get a palindrome (41221412214).

The spelling of 10011201213 in words is "ten billion, eleven million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 13 17 19 39 51 57 113 169 221 247 323 339 507 541 663 741 969 1469 1623 1921 2147 2873 3211 4199 4407 5763 6441 7033 8619 9197 9633 10279 12597 19097 21099 24973 27591 27911 30837 36499 54587 57291 61133 74919 83733 91429 109497 119561 133627 163761 174743 183399 274287 324649 358683 362843 400881 474487 524229 794729 973947 1039261 1088529 1161527 1423461 1554293 1737151 2271659 2384187 3117783 3484581 4662879 5211453 6168331 6814977 10331477 13510393 15099851 18504993 19745959 29531567 30994431 40531179 45299553 59237877 88594701 175635109 196298063 256697467 526905327 588894189 770092401 3337067071 10011201213