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13031123322 = 2371757131963
BaseRepresentation
bin11000010001011011…
…10010100101111010
31020122011100122122010
430020231302211322
5203141431421242
65553022110350
7640631502120
oct141055624572
936564318563
1013031123322
115587802908
12263811b3b6
1312c897b079
148b894b910
1551404d89c
hex308b7297a

13031123322 has 64 divisors (see below), whose sum is σ = 31593729024. Its totient is φ = 3497921280.

The previous prime is 13031123263. The next prime is 13031123359. The reversal of 13031123322 is 22332113031.

13031123322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 391713 + ... + 423675.

It is an arithmetic number, because the mean of its divisors is an integer number (493652016).

Almost surely, 213031123322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031123322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796864512).

13031123322 is an abundant number, since it is smaller than the sum of its proper divisors (18562605702).

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

13031123322 is a wasteful number, since it uses less digits than its factorization.

13031123322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32563.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13031123322 its reverse (22332113031), we get a palindrome (35363236353).

The spelling of 13031123322 in words is "thirteen billion, thirty-one million, one hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 571 714 1142 1713 3426 3997 7994 9707 11991 19414 23982 29121 31963 58242 63926 67949 95889 135898 191778 203847 223741 407694 447482 543371 671223 1086742 1342446 1630113 3260226 3803597 7607194 11410791 18250873 22821582 36501746 54752619 109505238 127756111 255512222 310264841 383268333 620529682 766536666 930794523 1861589046 2171853887 4343707774 6515561661 13031123322