Search a number
-
+
112610144350 = 2521121131271297
BaseRepresentation
bin110100011100000010…
…1100111000001011110
3101202122222212001022001
41220320011213001132
53321111144104400
6123422110112514
711064404301514
oct1507005470136
9352588761261
10112610144350
1143837544200
12199a8aab73a
13a8081b2312
145643b064b4
152de132da6a
hex1a3816705e

112610144350 has 144 divisors (see below), whose sum is σ = 234274005504. Its totient is φ = 40236134400.

The previous prime is 112610144333. The next prime is 112610144371. The reversal of 112610144350 is 53441016211.

It is a super-2 number, since 2×1126101443502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86822902 + ... + 86824198.

It is an arithmetic number, because the mean of its divisors is an integer number (1626902816).

Almost surely, 2112610144350 is an apocalyptic number.

112610144350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112610144350 is an abundant number, since it is smaller than the sum of its proper divisors (121663861154).

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

112610144350 is a wasteful number, since it uses less digits than its factorization.

112610144350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 112610144350 in words is "one hundred twelve billion, six hundred ten million, one hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 113 121 127 226 242 254 275 550 565 605 635 1130 1210 1243 1270 1297 1397 2486 2594 2794 2825 3025 3175 5650 6050 6215 6350 6485 6985 12430 12970 13673 13970 14267 14351 15367 27346 28534 28702 30734 31075 32425 34925 62150 64850 68365 69850 71335 71755 76835 136730 142670 143510 146561 153670 156937 157861 164719 293122 313874 315722 329438 341825 356675 358775 384175 683650 713350 717550 732805 768350 784685 789305 823595 1465610 1569370 1578610 1612171 1647190 1736471 1811909 3224342 3472942 3623818 3664025 3923425 3946525 4117975 7328050 7846850 7893050 8060855 8235950 8682355 9059545 16121710 17364710 17733881 18119090 18613247 19930999 35467762 37226494 39861998 40304275 43411775 45297725 80608550 86823550 88669405 90595450 93066235 99654995 177338810 186132470 199309990 204745717 409491434 443347025 465331175 498274975 886694050 930662350 996549950 1023728585 2047457170 2252202887 4504405774 5118642925 10237285850 11261014435 22522028870 56305072175 112610144350