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116023634010 = 23355367121013
BaseRepresentation
bin110110000001110001…
…1000010100001011010
3102002110212221021211000
41230003203002201122
53400104022242020
6125144525045430
711245113421434
oct1540343024132
9362425837730
10116023634010
1145229353539
121a5a00b6876
13ac3044c19b
1458891c5654
153040d4d090
hex1b038c285a

116023634010 has 128 divisors (see below), whose sum is σ = 319941653760. Its totient is φ = 29902549248.

The previous prime is 116023633997. The next prime is 116023634011. The reversal of 116023634010 is 10436320611.

116023634010 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 23 + 634 + 0 + 1 + 0 = 666.

116023634010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1160236340102 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116023634011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898264 + ... + 1019276.

It is an arithmetic number, because the mean of its divisors is an integer number (2499544170).

Almost surely, 2116023634010 is an apocalyptic number.

116023634010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116023634010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159970826880).

116023634010 is an abundant number, since it is smaller than the sum of its proper divisors (203918019750).

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

116023634010 is a wasteful number, since it uses less digits than its factorization.

116023634010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121149 (or 121143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 116023634010 its reverse (10436320611), we get a palindrome (126459954621).

The spelling of 116023634010 in words is "one hundred sixteen billion, twenty-three million, six hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 67 90 106 134 135 159 201 265 270 318 335 402 477 530 603 670 795 954 1005 1206 1431 1590 1809 2010 2385 2862 3015 3551 3618 4770 6030 7102 7155 9045 10653 14310 17755 18090 21306 31959 35510 53265 63918 95877 106530 121013 159795 191754 242026 319590 363039 479385 605065 726078 958770 1089117 1210130 1815195 2178234 3267351 3630390 5445585 6413689 6534702 8107871 10891170 12827378 16215742 16336755 19241067 24323613 32068445 32673510 38482134 40539355 48647226 57723201 64136890 72970839 81078710 96205335 115446402 121618065 145941678 173169603 192410670 218912517 243236130 288616005 346339206 364854195 429717163 437825034 577232010 729708390 859434326 865848015 1094562585 1289151489 1731696030 2148585815 2189125170 2578302978 3867454467 4297171630 6445757445 7734908934 11602363401 12891514890 19337272335 23204726802 38674544670 58011817005 116023634010