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13225031124 = 2232927118457
BaseRepresentation
bin11000101000100010…
…11111010111010100
31021010200020012010120
430110101133113110
5204041101443444
610024150151540
7645504624024
oct142421372724
937120205116
1013225031124
115677204698
1226910525b0
131329bb1406
148d65c5a84
155260a2b19
hex31445f5d4

13225031124 has 72 divisors (see below), whose sum is σ = 32411066688. Its totient is φ = 4196156160.

The previous prime is 13225031107. The next prime is 13225031147. The reversal of 13225031124 is 42113052231.

13225031124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13225031094 and 13225031103.

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 23 ways as a sum of consecutive naturals, for example, 707304 + ... + 725760.

It is an arithmetic number, because the mean of its divisors is an integer number (450153704).

Almost surely, 213225031124 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 13225031124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205533344).

13225031124 is an abundant number, since it is smaller than the sum of its proper divisors (19186035564).

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

13225031124 is a wasteful number, since it uses less digits than its factorization.

13225031124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18593 (or 18562 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13225031124 its reverse (42113052231), we get a palindrome (55338083355).

The spelling of 13225031124 in words is "thirteen billion, two hundred twenty-five million, thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 841 852 1682 2059 2523 3364 4118 5046 6177 8236 10092 12354 18457 24708 36914 55371 59711 73828 110742 119422 179133 221484 238844 358266 535253 716532 1070506 1310447 1605759 2141012 2620894 3211518 3931341 5241788 6423036 7862682 15522337 15725364 31044674 38002963 46567011 62089348 76005926 93134022 114008889 152011852 186268044 228017778 456035556 1102085927 2204171854 3306257781 4408343708 6612515562 13225031124