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103311311208 = 23371997333667
BaseRepresentation
bin110000000110111010…
…1011000000101101000
3100212122221110101021120
41200031311120011220
53143040143424313
6115243251535240
710315102441020
oct1401565300550
9325587411246
10103311311208
113a8a55a6236
12180328ba520
1399858523a1
145000b42a80
152a49cc3d23
hex180dd58168

103311311208 has 128 divisors (see below), whose sum is σ = 313914854400. Its totient is φ = 27675592704.

The previous prime is 103311311179. The next prime is 103311311251. The reversal of 103311311208 is 802113113301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142791 + ... + 476457.

It is an arithmetic number, because the mean of its divisors is an integer number (2452459800).

Almost surely, 2103311311208 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 103311311208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156957427200).

103311311208 is an abundant number, since it is smaller than the sum of its proper divisors (210603543192).

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

103311311208 is a wasteful number, since it uses less digits than its factorization.

103311311208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333799 (or 333795 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 103311311208 its reverse (802113113301), we get a palindrome (905424424509).

The spelling of 103311311208 in words is "one hundred three billion, three hundred eleven million, three hundred eleven thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 97 114 133 152 168 194 228 266 291 388 399 456 532 582 679 776 798 1064 1164 1358 1596 1843 2037 2328 2716 3192 3686 4074 5432 5529 7372 8148 11058 12901 14744 16296 22116 25802 38703 44232 51604 77406 103208 154812 309624 333667 667334 1001001 1334668 2002002 2335669 2669336 4004004 4671338 6339673 7007007 8008008 9342676 12679346 14014014 18685352 19019019 25358692 28028028 32365699 38038038 44377711 50717384 56056056 64731398 76076076 88755422 97097097 129462796 133133133 152152152 177510844 194194194 226559893 258925592 266266266 355021688 388388388 453119786 532532532 614948281 679679679 776776776 906239572 1065065064 1229896562 1359359358 1812479144 1844844843 2459793124 2718718716 3689689686 4304637967 4919586248 5437437432 7379379372 8609275934 12913913901 14758758744 17218551868 25827827802 34437103736 51655655604 103311311208