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112431671742 = 2313232917912073
BaseRepresentation
bin110100010110101110…
…0110010100110111110
3101202012120000200220110
41220231130302212332
53320230001443432
6123352252530450
711060106304305
oct1505534624676
9352176020813
10112431671742
1143755825085
1219959180a26
13a7aa224720
14562812943c
152dd0827dcc
hex1a2d7329be

112431671742 has 128 divisors (see below), whose sum is σ = 262884787200. Its totient is φ = 31768095744.

The previous prime is 112431671711. The next prime is 112431671773. The reversal of 112431671742 is 247176134211.

It is an interprime number because it is at equal distance from previous prime (112431671711) and next prime (112431671773).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 112431671742.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9306618 + ... + 9318690.

It is an arithmetic number, because the mean of its divisors is an integer number (2053787400).

Almost surely, 2112431671742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112431671742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131442393600).

112431671742 is an abundant number, since it is smaller than the sum of its proper divisors (150453115458).

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

112431671742 is a wasteful number, since it uses less digits than its factorization.

112431671742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322.

The product of its digits is 56448, while the sum is 39.

The spelling of 112431671742 in words is "one hundred twelve billion, four hundred thirty-one million, six hundred seventy-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 69 78 87 138 174 179 299 358 377 537 598 667 754 897 1074 1131 1334 1794 2001 2262 2327 4002 4117 4654 5191 6981 8234 8671 10382 12073 12351 13962 15573 17342 24146 24702 26013 31146 36219 52026 53521 67483 72438 107042 119393 134966 156949 160563 202449 238786 277679 313898 321126 350117 358179 404898 470847 555358 700234 716358 833037 941694 1050351 1552109 1666074 2100702 2161067 3104218 3609827 4322134 4551521 4656327 6483201 7219654 8052691 9103042 9312654 10829481 12966402 13654563 16105382 21658962 24158073 27309126 28093871 48316146 49704541 56187742 62670943 84281613 99409082 104684983 125341886 149113623 168563226 188012829 209369966 298227246 314054949 376025658 628109898 646159033 814722259 1292318066 1441431689 1629444518 1938477099 2444166777 2882863378 3876954198 4324295067 4888333554 8648590134 18738611957 37477223914 56215835871 112431671742