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13030131023300 = 2252614222150593
BaseRepresentation
bin1011110110011101000001…
…0101001011110111000100
31201010200001020100002211102
42331213100111023313010
53201441202020221200
643413543132555232
72513252536152356
oct275472025136704
951120036302742
1013030131023300
1141740582a4546
1215653b0622b18
137369752369a1
14330939a190d6
15178e24a426d5
hexbd9d054bdc4

13030131023300 has 72 divisors (see below), whose sum is σ = 28740163944072. Its totient is φ = 5126386176000.

The previous prime is 13030131023291. The next prime is 13030131023339. The reversal of 13030131023300 is 332013103031.

It can be written as a sum of positive squares in 12 ways, for example, as 3232717696576 + 9797413326724 = 1797976^2 + 3130082^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257522804 + ... + 257573396.

Almost surely, 213030131023300 is an apocalyptic number.

13030131023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13030131023300 is an abundant number, since it is smaller than the sum of its proper divisors (15710032920772).

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

13030131023300 is a wasteful number, since it uses less digits than its factorization.

13030131023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92889 (or 92882 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13030131023300 its reverse (332013103031), we get a palindrome (13362144126331).

The spelling of 13030131023300 in words is "thirteen trillion, thirty billion, one hundred thirty-one million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 42221 50593 84442 101186 168884 202372 211105 252965 422210 505930 844420 1011860 1055525 1264825 2111050 2529650 2575481 3086173 4222100 5059300 5150962 6172346 10301924 12344692 12877405 15430865 25754810 30861730 51509620 61723460 64387025 77154325 128774050 154308650 257548100 308617300 2136087053 4272174106 8544348212 10680435265 21360870530 42721741060 53402176325 106804352650 130301310233 213608705300 260602620466 521205240932 651506551165 1303013102330 2606026204660 3257532755825 6515065511650 13030131023300