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103404211104 = 2531816838713
BaseRepresentation
bin110000001001101011…
…1110000101110100000
3100212220102021011222110
41200103113300232200
53143232434223404
6115300411035320
710320311202135
oct1402327605640
9325812234873
10103404211104
113a942a88307
1218059a3bb40
13999bb7b23c
14500d20658c
152a53024b89
hex18135f0ba0

103404211104 has 96 divisors (see below), whose sum is σ = 273366684864. Its totient is φ = 34223523840.

The previous prime is 103404211091. The next prime is 103404211109. The reversal of 103404211104 is 401112404301.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (103404211109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11863452 + ... + 11872164.

It is an arithmetic number, because the mean of its divisors is an integer number (2847569634).

Almost surely, 2103404211104 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 103404211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136683342432).

103404211104 is an abundant number, since it is smaller than the sum of its proper divisors (169962473760).

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

103404211104 is a wasteful number, since it uses less digits than its factorization.

103404211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 103404211104 its reverse (401112404301), we get a palindrome (504516615405).

The spelling of 103404211104 in words is "one hundred three billion, four hundred four million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 683 724 1086 1366 1448 2049 2172 2732 2896 4098 4344 5464 5792 8196 8688 8713 10928 16392 17376 17426 21856 26139 32784 34852 52278 65568 69704 104556 123623 139408 209112 247246 278816 370869 418224 494492 741738 836448 988984 1483476 1577053 1977968 2966952 3154106 3955936 4731159 5933904 5950979 6308212 9462318 11867808 11901958 12616424 17852937 18924636 23803916 25232848 35705874 37849272 47607832 50465696 71411748 75698544 95215664 142823496 151397088 190431328 285646992 571293984 1077127199 2154254398 3231381597 4308508796 6462763194 8617017592 12925526388 17234035184 25851052776 34468070368 51702105552 103404211104