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13031227506 = 23113715833371
BaseRepresentation
bin11000010001011100…
…01100000001110010
31020122011112221112210
430020232030001302
5203141443240011
65553024232550
7640632414633
oct141056140162
936564487483
1013031227506
115587874110
12263816b756
1312c89b660b
148b897788a
1551406e6a6
hex308b8c072

13031227506 has 64 divisors (see below), whose sum is σ = 29227309056. Its totient is φ = 3838564800.

The previous prime is 13031227477. The next prime is 13031227571. The reversal of 13031227506 is 60572213031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3864001 + ... + 3867371.

It is an arithmetic number, because the mean of its divisors is an integer number (456676704).

Almost surely, 213031227506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031227506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613654528).

13031227506 is an abundant number, since it is smaller than the sum of its proper divisors (16196081550).

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

13031227506 is a wasteful number, since it uses less digits than its factorization.

13031227506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007.

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 13031227506 in words is "thirteen billion, thirty-one million, two hundred twenty-seven thousand, five hundred six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 1583 2442 3166 3371 4749 6742 9498 10113 17413 20226 34826 37081 52239 58571 74162 104478 111243 117142 124727 175713 222486 249454 351426 374181 644281 748362 1288562 1371997 1932843 2743994 3865686 4115991 5336293 8231982 10672586 16008879 32017758 58699223 117398446 176097669 197442841 352195338 394885682 592328523 1184657046 2171871251 4343742502 6515613753 13031227506