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13100311044 = 22321722814481
BaseRepresentation
bin11000011001101011…
…01110001000000100
31020210222112202100100
430030311232020010
5203312134423134
610003533044100
7642431543442
oct141465561004
936728482310
1013100311044
115612869647
122657326630
13130a0c3c52
148c3bdbb92
1551a168999
hex30cd6e204

13100311044 has 108 divisors (see below), whose sum is σ = 35310244788. Its totient is φ = 4094361600.

The previous prime is 13100311019. The next prime is 13100311051. The reversal of 13100311044 is 44011300131.

13100311044 is a `hidden beast` number, since 1 + 310 + 0 + 311 + 0 + 44 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3423654144 + 9676656900 = 58512^2 + 98370^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2921284 + ... + 2925764.

It is an arithmetic number, because the mean of its divisors is an integer number (326946711).

Almost surely, 213100311044 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 13100311044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17655122394).

13100311044 is an abundant number, since it is smaller than the sum of its proper divisors (22209933744).

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

13100311044 is a wasteful number, since it uses less digits than its factorization.

13100311044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13100311044 its reverse (44011300131), we get a palindrome (57111611175).

The spelling of 13100311044 in words is "thirteen billion, one hundred million, three hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 281 289 306 562 578 612 843 867 1124 1156 1686 1734 2529 2601 3372 3468 4481 4777 5058 5202 8962 9554 10116 10404 13443 14331 17924 19108 26886 28662 40329 42993 53772 57324 76177 80658 81209 85986 152354 161316 162418 171972 228531 243627 304708 324836 457062 487254 685593 730881 914124 974508 1259161 1295009 1371186 1461762 2518322 2590018 2742372 2923524 3777483 3885027 5036644 5180036 7554966 7770054 11332449 11655081 15109932 15540108 21405737 22664898 23310162 42811474 45329796 46620324 64217211 85622948 128434422 192651633 256868844 363897529 385303266 727795058 770606532 1091692587 1455590116 2183385174 3275077761 4366770348 6550155522 13100311044