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13113101300112 = 2432118860993427
BaseRepresentation
bin1011111011010010000110…
…1111101011000110010000
31201102121012120112212121200
42332310201233223012100
53204321112413100422
643520024153551200
72522250605653212
oct276644157530620
951377176485550
1013113101300112
1141a626490a550
1215794a7115500
13741738847038
1433496b0605b2
1517b17db832ac
hexbed21beb190

13113101300112 has 120 divisors (see below), whose sum is σ = 40035575966880. Its totient is φ = 3973579683840.

The previous prime is 13113101300083. The next prime is 13113101300141. The reversal of 13113101300112 is 21100310131131.

13113101300112 is a `hidden beast` number, since 1 + 311 + 310 + 1 + 30 + 0 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (13113101300083) and next prime (13113101300141).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140309943 + ... + 140403369.

It is an arithmetic number, because the mean of its divisors is an integer number (333629799724).

Almost surely, 213113101300112 is an apocalyptic number.

13113101300112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13113101300112 is an abundant number, since it is smaller than the sum of its proper divisors (26922474666768).

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

13113101300112 is a wasteful number, since it uses less digits than its factorization.

13113101300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182061 (or 182052 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13113101300112 its reverse (21100310131131), we get a palindrome (34213411431243).

The spelling of 13113101300112 in words is "thirteen trillion, one hundred thirteen billion, one hundred one million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 88609 93427 177218 186854 265827 280281 354436 373708 531654 560562 708872 747416 797481 840843 974699 1027697 1063308 1121124 1417744 1494832 1594962 1681686 1949398 2055394 2126616 2242248 2924097 3083091 3189924 3363372 3898796 4110788 4253232 4484496 5848194 6166182 6379848 6726744 7797592 8221576 8772291 9249273 11696388 12332364 12759696 13453488 15595184 16443152 17544582 18498546 23392776 24664728 35089164 36997092 46785552 49329456 70178328 73994184 140356656 147988368 8278473043 16556946086 24835419129 33113892172 49670838258 66227784344 74506257387 91063203473 99341676516 132455568688 149012514774 182126406946 198683353032 273189610419 298025029548 364252813892 397366706064 546379220838 596050059096 728505627784 819568831257 1092758441676 1192100118192 1457011255568 1639137662514 2185516883352 3278275325028 4371033766704 6556550650056 13113101300112