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112540116450 = 235217220719997
BaseRepresentation
bin110100011001111101…
…0011110010111100010
3101202111010002021002010
41220303322132113202
53320440232211300
6123411125133350
711062564130526
oct1506372362742
9352433067063
10112540116450
1143800a64203
121998955a256
13a7c6833ba8
1456386b7d86
152dda0e9a50
hex1a33e9e5e2

112540116450 has 96 divisors (see below), whose sum is σ = 295665790464. Its totient is φ = 28231152640.

The previous prime is 112540116439. The next prime is 112540116541. The reversal of 112540116450 is 54611045211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5617852 + ... + 5637848.

It is an arithmetic number, because the mean of its divisors is an integer number (3079851984).

Almost surely, 2112540116450 is an apocalyptic number.

112540116450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112540116450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147832895232).

112540116450 is an abundant number, since it is smaller than the sum of its proper divisors (183125674014).

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

112540116450 is a wasteful number, since it uses less digits than its factorization.

112540116450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22236 (or 22231 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 112540116450 in words is "one hundred twelve billion, five hundred forty million, one hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2207 2550 4414 6621 11035 13242 19997 22070 33105 37519 39994 55175 59991 66210 75038 99985 110350 112557 119982 165525 187595 199970 225114 299955 331050 339949 375190 499925 562785 599910 679898 937975 999850 1019847 1125570 1499775 1699745 1875950 2039694 2813925 2999550 3399490 5099235 5627850 8498725 10198470 16997450 25496175 44133379 50992350 88266758 132400137 220666895 264800274 441333790 662000685 750267443 1103334475 1324001370 1500534886 2206668950 2250802329 3310003425 3751337215 4501604658 6620006850 7502674430 11254011645 18756686075 22508023290 37513372150 56270058225 112540116450