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112151113542 = 233131716635651
BaseRepresentation
bin110100001110010111…
…0100010111101000110
3101201111000002212102000
41220130232202331012
53314141141113132
6123304351330130
711050131510336
oct1503456427506
9351430085360
10112151113542
114362141a5a6
121989b220946
13a764072c60
1455dcb770c6
152db5da987c
hex1a1cba2f46

112151113542 has 128 divisors (see below), whose sum is σ = 284405022720. Its totient is φ = 32452876800.

The previous prime is 112151113537. The next prime is 112151113577. The reversal of 112151113542 is 245311151211.

112151113542 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 5 + 1 + 113 + 542 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19843417 + ... + 19849067.

It is an arithmetic number, because the mean of its divisors is an integer number (2221914240).

Almost surely, 2112151113542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112151113542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142202511360).

112151113542 is an abundant number, since it is smaller than the sum of its proper divisors (172253909178).

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

112151113542 is a wasteful number, since it uses less digits than its factorization.

112151113542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7349 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

Adding to 112151113542 its reverse (245311151211), we get a palindrome (357462264753).

The spelling of 112151113542 in words is "one hundred twelve billion, one hundred fifty-one million, one hundred thirteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1663 1989 3326 3978 4989 5651 5967 9978 11302 11934 14967 16953 21619 28271 29934 33906 43238 44901 50859 56542 64857 73463 84813 89802 96067 101718 129714 146926 152577 169626 192134 194571 220389 254439 288201 305154 367523 389142 440778 508878 576402 583713 661167 735046 763317 864603 1102569 1167426 1248871 1322334 1526634 1729206 1983501 2205138 2497742 2593809 3307707 3746613 3967002 5187618 6615414 7493226 9397613 9923121 11239839 18795226 19846242 22479678 28192839 33719517 56385678 67439034 84578517 122168969 159759421 169157034 244337938 253735551 319518842 366506907 479278263 507471102 733013814 958556526 1099520721 1437834789 2076872473 2199041442 2875669578 3298562163 4153744946 4313504367 6230617419 6597124326 8627008734 12461234838 18691852257 37383704514 56075556771 112151113542