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112182036148 = 227131917393761
BaseRepresentation
bin110100001111010010…
…0100000011010110100
3101201120011021220020201
41220132210200122310
53314222100124043
6123311414210244
711050655400610
oct1503644403264
9351504256221
10112182036148
1143637920176
12198a9653984
13a76a5abb60
145602d06340
152db8966c4d
hex1a1e9206b4

112182036148 has 96 divisors (see below), whose sum is σ = 255812739840. Its totient is φ = 41800458240.

The previous prime is 112182036139. The next prime is 112182036149. The reversal of 112182036148 is 841630281211.

It is a super-2 number, since 2×1121820361482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112182036149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149588 + ... + 1243348.

It is an arithmetic number, because the mean of its divisors is an integer number (2664716040).

Almost surely, 2112182036148 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 112182036148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127906369920).

112182036148 is an abundant number, since it is smaller than the sum of its proper divisors (143630703692).

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

112182036148 is a wasteful number, since it uses less digits than its factorization.

112182036148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93977 (or 93975 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 112182036148 in words is "one hundred twelve billion, one hundred eighty-two million, thirty-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 173 182 247 266 346 364 494 532 692 988 1211 1729 2249 2422 3287 3458 4498 4844 6574 6916 8996 13148 15743 23009 31486 42731 46018 62972 85462 92036 93761 170924 187522 299117 375044 598234 656327 1196468 1218893 1312654 1781459 2437786 2625308 3562918 4875572 7125836 8532251 12470213 16220653 17064502 23158967 24940426 32441306 34129004 46317934 49880852 64882612 92635868 113544571 162112769 210868489 227089142 308192407 324225538 421736978 454178284 616384814 648451076 843473956 1232769628 1476079423 2157346849 2952158846 4006501291 4314693698 5904317692 8013002582 8629387396 16026005164 28045509037 56091018074 112182036148