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13130220198 = 23171038871409
BaseRepresentation
bin11000011101001111…
…10100001010100110
31020220001211021222210
430032213310022212
5203342314021243
610010522104250
7643244013234
oct141647641246
936801737883
1013130220198
115628737857
12266534b086
131313366784
148c7b85954
1551cac5933
hex30e9f42a6

13130220198 has 64 divisors (see below), whose sum is σ = 28126725120. Its totient is φ = 4071800832.

The previous prime is 13130220163. The next prime is 13130220211. The reversal of 13130220198 is 89102203131.

13130220198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9318118 + ... + 9319526.

It is an arithmetic number, because the mean of its divisors is an integer number (439480080).

Almost surely, 213130220198 is an apocalyptic number.

13130220198 is an abundant number, since it is smaller than the sum of its proper divisors (14996504922).

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

13130220198 is a wasteful number, since it uses less digits than its factorization.

13130220198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 13130220198 in words is "thirteen billion, one hundred thirty million, two hundred twenty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 17 34 51 102 103 206 309 618 887 1409 1751 1774 2661 2818 3502 4227 5253 5322 8454 10506 15079 23953 30158 45237 47906 71859 90474 91361 143718 145127 182722 274083 290254 435381 548166 870762 1249783 1553137 2467159 2499566 3106274 3749349 4659411 4934318 7401477 7498698 9318822 14802954 21246311 42492622 63738933 127477866 128727649 257455298 386182947 772365894 2188370033 4376740066 6565110099 13130220198