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103113101304 = 2333679197753
BaseRepresentation
bin110000000001000000…
…1010000111111111000
3100212011010111021102000
41200002001100333320
53142133423220204
6115211451341000
710310144620413
oct1400201207770
9325133437360
10103113101304
113a8037261a4
1217b98451760
139953773b15
144dc26a8b7a
152a376c0039
hex1802050ff8

103113101304 has 128 divisors (see below), whose sum is σ = 291054144000. Its totient is φ = 33816828672.

The previous prime is 103113101239. The next prime is 103113101309. The reversal of 103113101304 is 403101311301.

103113101304 is a `hidden beast` number, since 10 + 311 + 310 + 1 + 30 + 4 = 666.

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 (103113101309) 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, 13295892 + ... + 13303644.

It is an arithmetic number, because the mean of its divisors is an integer number (2273860500).

Almost surely, 2103113101304 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 103113101304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145527072000).

103113101304 is an abundant number, since it is smaller than the sum of its proper divisors (187941042696).

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

103113101304 is a wasteful number, since it uses less digits than its factorization.

103113101304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103113101304 its reverse (403101311301), we get a palindrome (506214412605).

The spelling of 103113101304 in words is "one hundred three billion, one hundred thirteen million, one hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 919 1206 1608 1809 1838 2412 2757 3618 3676 4824 5514 7236 7352 7753 8271 11028 14472 15506 16542 22056 23259 24813 31012 33084 46518 49626 61573 62024 66168 69777 93036 99252 123146 139554 184719 186072 198504 209331 246292 279108 369438 418662 492584 519451 554157 558216 738876 837324 1038902 1108314 1477752 1558353 1662471 1674648 2077804 2216628 3116706 3324942 4155608 4433256 4675059 6233412 6649884 7125007 9350118 12466824 13299768 14025177 14250014 18700236 21375021 28050354 28500028 37400472 42750042 56100708 57000056 64125063 85500084 112201416 128250126 171000168 192375189 256500252 384750378 477375469 513000504 769500756 954750938 1432126407 1539001512 1909501876 2864252814 3819003752 4296379221 5728505628 8592758442 11457011256 12889137663 17185516884 25778275326 34371033768 51556550652 103113101304