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112246003400 = 23524150926893
BaseRepresentation
bin110100010001001100…
…0100001011011001000
3101201201121122202211012
41220202120201123020
53314334434102100
6123322021223052
711052363200216
oct1504230413310
9351647582735
10112246003400
114366aa40773
1219906b61a88
13a77a9177bb
14560b5d7cb6
152dbe3a0135
hex1a226216c8

112246003400 has 96 divisors (see below), whose sum is σ = 267872308200. Its totient is φ = 43715635200.

The previous prime is 112246003381. The next prime is 112246003403. The reversal of 112246003400 is 4300642211.

It can be written as a sum of positive squares in 12 ways, for example, as 18721354276 + 93524649124 = 136826^2 + 305818^2 .

It is not an unprimeable number, because it can be changed into a prime (112246003403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4160354 + ... + 4187246.

Almost surely, 2112246003400 is an apocalyptic number.

112246003400 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 112246003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133936154100).

112246003400 is an abundant number, since it is smaller than the sum of its proper divisors (155626304800).

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

112246003400 is a wasteful number, since it uses less digits than its factorization.

112246003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27459 (or 27450 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 112246003400 its reverse (4300642211), we get a palindrome (116546645611).

The spelling of 112246003400 in words is "one hundred twelve billion, two hundred forty-six million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 509 820 1018 1025 1640 2036 2050 2545 4072 4100 5090 8200 10180 12725 20360 20869 25450 26893 41738 50900 53786 83476 101800 104345 107572 134465 166952 208690 215144 268930 417380 521725 537860 672325 834760 1043450 1075720 1102613 1344650 2086900 2205226 2689300 4173800 4410452 5378600 5513065 8820904 11026130 13688537 22052260 27377074 27565325 44104520 54754148 55130650 68442685 109508296 110261300 136885370 220522600 273770740 342213425 547541480 561230017 684426850 1122460034 1368853700 2244920068 2737707400 2806150085 4489840136 5612300170 11224600340 14030750425 22449200680 28061500850 56123001700 112246003400