Search a number
-
+
112301301120 = 2735401145861
BaseRepresentation
bin110100010010110101…
…1011101110110000000
3101201212110201012000220
41220211223131312000
53314443113113440
6123331314343040
711053634211111
oct1504553356600
9351773635026
10112301301120
114369917a768
121992158aa80
13a789209348
145614ab0208
152dc41748d0
hex1a25addd80

112301301120 has 128 divisors (see below), whose sum is σ = 358855526880. Its totient is φ = 29872128000.

The previous prime is 112301301109. The next prime is 112301301121. The reversal of 112301301120 is 21103103211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1123013011202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112301301120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112301301121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696990 + ... + 842850.

Almost surely, 2112301301120 is an apocalyptic number.

112301301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112301301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179427763440).

112301301120 is an abundant number, since it is smaller than the sum of its proper divisors (246554225760).

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

112301301120 is a wasteful number, since it uses less digits than its factorization.

112301301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146284 (or 146272 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112301301120 its reverse (21103103211), we get a palindrome (133404404331).

The spelling of 112301301120 in words is "one hundred twelve billion, three hundred one million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 401 480 640 802 960 1203 1604 1920 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 12832 16040 19248 24060 25664 32080 38496 48120 51328 64160 76992 96240 128320 145861 153984 192480 256640 291722 384960 437583 583444 729305 769920 875166 1166888 1458610 1750332 2187915 2333776 2917220 3500664 4375830 4667552 5834440 7001328 8751660 9335104 11668880 14002656 17503320 18670208 23337760 28005312 35006640 46675520 56010624 58490261 70013280 93351040 116980522 140026560 175470783 233961044 280053120 292451305 350941566 467922088 584902610 701883132 877353915 935844176 1169805220 1403766264 1754707830 1871688352 2339610440 2807532528 3509415660 3743376704 4679220880 5615065056 7018831320 7486753408 9358441760 11230130112 14037662640 18716883520 22460260224 28075325280 37433767040 56150650560 112301301120