Search a number
-
+
112455313104 = 2435979502643
BaseRepresentation
bin110100010111011011…
…0111110011011010000
3101202021012111210202110
41220232312332123100
53320302030004404
6123354455345320
711060514250461
oct1505666763320
9352235453673
10112455313104
11437681021a2
1219965082240
13a7b20b13b4
14562b320d68
152dd2947b89
hex1a2edbe6d0

112455313104 has 80 divisors (see below), whose sum is σ = 299173708800. Its totient is φ = 36383238528.

The previous prime is 112455313073. The next prime is 112455313111. The reversal of 112455313104 is 401313554211.

It is a super-2 number, since 2×1124553131042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27594 + ... + 475049.

It is an arithmetic number, because the mean of its divisors is an integer number (3739671360).

Almost surely, 2112455313104 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 112455313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149586854400).

112455313104 is an abundant number, since it is smaller than the sum of its proper divisors (186718395696).

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

112455313104 is a wasteful number, since it uses less digits than its factorization.

112455313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502792 (or 502786 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 112455313104 its reverse (401313554211), we get a palindrome (513768867315).

The spelling of 112455313104 in words is "one hundred twelve billion, four hundred fifty-five million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 79 118 158 177 236 237 316 354 472 474 632 708 944 948 1264 1416 1896 2832 3792 4661 9322 13983 18644 27966 37288 55932 74576 111864 223728 502643 1005286 1507929 2010572 3015858 4021144 6031716 8042288 12063432 24126864 29655937 39708797 59311874 79417594 88967811 118623748 119126391 158835188 177935622 237247496 238252782 317670376 355871244 474494992 476505564 635340752 711742488 953011128 1423484976 1906022256 2342819023 4685638046 7028457069 9371276092 14056914138 18742552184 28113828276 37485104368 56227656552 112455313104