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13010122132 = 22723413731321
BaseRepresentation
bin11000001110111011…
…01011010110010100
31020120200211200102021
430013131223112110
5203121042402012
65550552022524
7640255133140
oct140735532624
936520750367
1013010122132
115576969357
122631091a44
1312c4507027
148b5c42220
155122a1007
hex30776b594

13010122132 has 96 divisors (see below), whose sum is σ = 27909471744. Its totient is φ = 5185382400.

The previous prime is 13010122061. The next prime is 13010122133. The reversal of 13010122132 is 23122101031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010122133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9848032 + ... + 9849352.

It is an arithmetic number, because the mean of its divisors is an integer number (290723664).

Almost surely, 213010122132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13010122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13954735872).

13010122132 is an abundant number, since it is smaller than the sum of its proper divisors (14899349612).

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

13010122132 is a wasteful number, since it uses less digits than its factorization.

13010122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13010122132 its reverse (23122101031), we get a palindrome (36132223163).

The spelling of 13010122132 in words is "thirteen billion, ten million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 287 322 373 574 644 746 943 1148 1321 1492 1886 2611 2642 3772 5222 5284 6601 8579 9247 10444 13202 15293 17158 18494 26404 30383 30586 34316 36988 54161 60053 60766 61172 107051 108322 120106 121532 212681 214102 216644 240212 351739 379127 425362 428204 492733 703478 758254 850724 985466 1245703 1406956 1516508 1970932 2462173 2491406 3449131 4924346 4982812 6898262 8719921 9848692 11332859 13796524 17439842 20202053 22665718 34879684 40404106 45331436 79330013 80808212 141414371 158660026 282828742 317320052 464647219 565657484 929294438 1858588876 3252530533 6505061066 13010122132