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113202021330 = 23253724611993
BaseRepresentation
bin110100101101101011…
…1011100001111010010
3101211012020120111212200
41221123113130033102
53323314204140310
6124000532104030
711115152206416
oct1513327341722
9354166514780
10113202021330
1144010654132
1219b33165016
13a8a09c5798
14569c576d46
152e282949c0
hex1a5b5dc3d2

113202021330 has 144 divisors (see below), whose sum is σ = 303303264264. Its totient is φ = 29292917760.

The previous prime is 113202021281. The next prime is 113202021343. The reversal of 113202021330 is 33120202311.

113202021330 is a `hidden beast` number, since 1 + 132 + 0 + 202 + 1 + 330 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 58890184929 + 54311836401 = 242673^2 + 233049^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56798814 + ... + 56800806.

Almost surely, 2113202021330 is an apocalyptic number.

113202021330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113202021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151651632132).

113202021330 is an abundant number, since it is smaller than the sum of its proper divisors (190101242934).

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

113202021330 is a wasteful number, since it uses less digits than its factorization.

113202021330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113202021330 its reverse (33120202311), we get a palindrome (146322223641).

The spelling of 113202021330 in words is "one hundred thirteen billion, two hundred two million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 461 555 666 922 1110 1369 1383 1665 1993 2305 2738 2766 3330 3986 4107 4149 4610 5979 6845 6915 8214 8298 9965 11958 12321 13690 13830 17057 17937 19930 20535 20745 24642 29895 34114 35874 41070 41490 51171 59790 61605 73741 85285 89685 102342 123210 147482 153513 170570 179370 221223 255855 307026 368705 442446 511710 631109 663669 737410 767565 918773 1106115 1262218 1327338 1535130 1837546 1893327 2212230 2728417 2756319 3155545 3318345 3786654 4593865 5456834 5512638 5679981 6311090 6636690 8185251 8268957 9187730 9466635 11359962 13642085 13781595 16370502 16537914 18933270 24555753 27284170 27563190 28399905 33994601 40926255 41344785 49111506 56799810 67989202 81852510 82689570 101983803 122778765 169973005 203967606 245557530 305951409 339946010 509919015 611902818 1019838030 1257800237 1529757045 2515600474 3059514090 3773400711 6289001185 7546801422 11320202133 12578002370 18867003555 22640404266 37734007110 56601010665 113202021330