Search a number
-
+
112170354032 = 24111496416673
BaseRepresentation
bin110100001110111011…
…1111100010101110000
3101201112100022101101202
41220131313330111300
53314211102312112
6123310315550332
711050454164142
oct1503567742560
9351470271352
10112170354032
1143631271230
12198a575b3a8
13a76804b769
145601544c92
152db790a6c2
hex1a1ddfc570

112170354032 has 80 divisors (see below), whose sum is σ = 239086706400. Its totient is φ = 50557747200.

The previous prime is 112170353987. The next prime is 112170354041. The reversal of 112170354032 is 230453071211.

It is a junction number, because it is equal to n+sod(n) for n = 112170353986 and 112170354004.

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, 16806248 + ... + 16812920.

It is an arithmetic number, because the mean of its divisors is an integer number (2988583830).

Almost surely, 2112170354032 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 112170354032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119543353200).

112170354032 is an abundant number, since it is smaller than the sum of its proper divisors (126916352368).

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

112170354032 is a wasteful number, since it uses less digits than its factorization.

112170354032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 112170354032 in words is "one hundred twelve billion, one hundred seventy million, three hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 641 1192 1282 1639 2384 2564 3278 5128 6556 6673 7051 10256 13112 13346 14102 26224 26692 28204 53384 56408 73403 95509 106768 112816 146806 191018 293612 382036 587224 764072 994277 1050599 1174448 1528144 1988554 2101198 3977108 4202396 4277393 7954216 8404792 8554786 10937047 15908432 16809584 17109572 21874094 34219144 43748188 47051323 68438288 87496376 94102646 174992752 188205292 376410584 637331557 752821168 1274663114 2549326228 5098652456 7010647127 10197304912 14021294254 28042588508 56085177016 112170354032