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137504006122 = 27241101340231
BaseRepresentation
bin1000000000001111100…
…0001001111111101010
3111010220220001020211111
42000003320021333222
54223102011143442
6143100220020534
712635322524140
oct2000370117752
9433826036744
10137504006122
1153351476a8a
122279599174a
13cc74736142
146925d41590
15389ba37b17
hex2003e09fea

137504006122 has 32 divisors (see below), whose sum is σ = 236938800384. Its totient is φ = 58626374400.

The previous prime is 137504006119. The next prime is 137504006141. The reversal of 137504006122 is 221600405731.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 15 ways as a sum of consecutive naturals, for example, 3397747 + ... + 3437977.

It is an arithmetic number, because the mean of its divisors is an integer number (7404337512).

Almost surely, 2137504006122 is an apocalyptic number.

137504006122 is a deficient number, since it is larger than the sum of its proper divisors (99434794262).

137504006122 is a wasteful number, since it uses less digits than its factorization.

137504006122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41494.

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 137504006122 in words is "one hundred thirty-seven billion, five hundred four million, six thousand, one hundred twenty-two".

Divisors: 1 2 7 14 241 482 1013 1687 2026 3374 7091 14182 40231 80462 244133 281617 488266 563234 1708931 3417862 9695671 19391342 40754003 67869697 81508006 135739394 285278021 570556042 9821714723 19643429446 68752003061 137504006122