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113203212213 = 37213311939901
BaseRepresentation
bin110100101101101101…
…1111110111110110101
3101211012022211000110110
41221123123332332311
53323320010242323
6124001013413233
711115165266400
oct1513333767665
9354168730413
10113203212213
1144011297933
1219b3363a219
13a8a1021850
14569c7a6d37
152e2842c793
hex1a5b6fefb5

113203212213 has 96 divisors (see below), whose sum is σ = 196217398272. Its totient is φ = 57480192000.

The previous prime is 113203212179. The next prime is 113203212223. The reversal of 113203212213 is 312212302311.

It is not a de Polignac number, because 113203212213 - 220 = 113202163637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113203212213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113203212223) 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, 11428563 + ... + 11438463.

It is an arithmetic number, because the mean of its divisors is an integer number (2043931232).

Almost surely, 2113203212213 is an apocalyptic number.

113203212213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113203212213 is a deficient number, since it is larger than the sum of its proper divisors (83014186059).

113203212213 is a wasteful number, since it uses less digits than its factorization.

113203212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10155 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113203212213 its reverse (312212302311), we get a palindrome (425415514524).

The spelling of 113203212213 in words is "one hundred thirteen billion, two hundred three million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 193 217 273 403 579 637 651 1209 1351 1519 1911 2509 2821 4053 4557 5983 7527 8463 9457 9901 17563 17949 19747 28371 29703 41881 52689 59241 69307 77779 122941 125643 128713 207921 233337 293167 306931 368823 386139 485149 544453 879501 900991 920793 1455447 1633359 1910893 2148517 2702973 3811171 3990103 5732679 6306937 6445551 11433513 11970309 13376251 15039619 18920811 24841609 27930721 40128753 45118857 59237683 74524827 83792163 93633757 173891263 177713049 195515047 280901271 414663781 521673789 586545141 770089879 1217238841 1243991343 2310269637 2902646467 3651716523 5390629153 8707939401 16171887459 37734404071 113203212213