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103112401104 = 24322459291199
BaseRepresentation
bin110000000000111111…
…0100110000011010000
3100212011002011200220200
41200001332212003100
53142133233313404
6115211424335200
710310135643126
oct1400176460320
9325132150820
10103112401104
113a803298119
1217b98174500
13995358a1bb
144dc2565916
152a375d2839
hex1801fa60d0

103112401104 has 60 divisors (see below), whose sum is σ = 288689856000. Its totient is φ = 34356704832.

The previous prime is 103112401099. The next prime is 103112401109. The reversal of 103112401104 is 401104211301.

103112401104 is a `hidden beast` number, since 1 + 0 + 311 + 240 + 110 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103112401099) and next prime (103112401109).

It is a super-2 number, since 2×1031124011042 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112401109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208497 + ... + 499695.

It is an arithmetic number, because the mean of its divisors is an integer number (4811497600).

Almost surely, 2103112401104 is an apocalyptic number.

It is an amenable number.

103112401104 is an abundant number, since it is smaller than the sum of its proper divisors (185577454896).

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

103112401104 is a wasteful number, since it uses less digits than its factorization.

103112401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293672 (or 293663 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103112401104 its reverse (401104211301), we get a palindrome (504216612405).

The spelling of 103112401104 in words is "one hundred three billion, one hundred twelve million, four hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2459 4918 7377 9836 14754 19672 22131 29508 39344 44262 59016 88524 118032 177048 291199 354096 582398 873597 1164796 1747194 2329592 2620791 3494388 4659184 5241582 6988776 10483164 13977552 20966328 41932656 716058341 1432116682 2148175023 2864233364 4296350046 5728466728 6444525069 8592700092 11456933456 12889050138 17185400184 25778100276 34370800368 51556200552 103112401104