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1103118144804 = 22321331107710609
BaseRepresentation
bin10000000011010110111…
…101110001010100100100
310220110100012101221021100
4100003112331301110210
5121033141221113204
62202433202120100
7142461203343504
oct20032675612444
93813305357240
101103118144804
11395914486375
12159960050030
138003cab7180
143b569665a04
151da645d0a39
hex100d6f71524

1103118144804 has 144 divisors (see below), whose sum is σ = 3128776035840. Its totient is φ = 325401615360.

The previous prime is 1103118144769. The next prime is 1103118144823. The reversal of 1103118144804 is 4084418113011.

It is a happy number.

1103118144804 is a `hidden beast` number, since 1 + 1 + 0 + 31 + 181 + 448 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197052 + ... + 1907660.

It is an arithmetic number, because the mean of its divisors is an integer number (21727611360).

Almost surely, 21103118144804 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 1103118144804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564388017920).

1103118144804 is an abundant number, since it is smaller than the sum of its proper divisors (2025657891036).

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

1103118144804 is a wasteful number, since it uses less digits than its factorization.

1103118144804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710770 (or 710765 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1103118144804 in words is "one trillion, one hundred three billion, one hundred eighteen million, one hundred forty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 107 117 124 156 186 214 234 279 321 372 403 428 468 558 642 806 963 1116 1209 1284 1391 1612 1926 2418 2782 3317 3627 3852 4173 4836 5564 6634 7254 8346 9951 12519 13268 14508 16692 19902 25038 29853 39804 43121 50076 59706 86242 119412 129363 172484 258726 388089 517452 710609 776178 1421218 1552356 2131827 2842436 4263654 6395481 8527308 9237917 12790962 18475834 22028879 25581924 27713751 36951668 44057758 55427502 66086637 76035163 83141253 88115516 110855004 132173274 152070326 166282506 198259911 228105489 264346548 286375427 304140652 332565012 396519822 456210978 572750854 684316467 793039644 859126281 912421956 988457119 1145501708 1368632934 1718252562 1976914238 2357090053 2577378843 2737265868 2965371357 3436505124 3953828476 4714180106 5154757686 5930742714 7071270159 8896114071 9428360212 10309515372 11861485428 14142540318 17792228142 21213810477 28285080636 30642170689 35584456284 42427620954 61284341378 84855241908 91926512067 122568682756 183853024134 275779536201 367706048268 551559072402 1103118144804