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113002232310 = 232511953119773
BaseRepresentation
bin110100100111101110…
…1010011100111110110
3101210200022122011212100
41221033131103213312
53322412032413220
6123525034002530
711110205061222
oct1511735234766
9353608564770
10113002232310
1143a188a5740
1219a98276446
13a86b4b3526
14567dc0b782
152e1597cd90
hex1a4f7539f6

113002232310 has 96 divisors (see below), whose sum is σ = 320854423968. Its totient is φ = 27365506560.

The previous prime is 113002232293. The next prime is 113002232333. The reversal of 113002232310 is 13232200311.

113002232310 is a `hidden beast` number, since 1 + 1 + 300 + 22 + 32 + 310 = 666.

113002232310 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 2×1130022323102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883584 + ... + 1003356.

It is an arithmetic number, because the mean of its divisors is an integer number (3342233583).

Almost surely, 2113002232310 is an apocalyptic number.

113002232310 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 113002232310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160427211984).

113002232310 is an abundant number, since it is smaller than the sum of its proper divisors (207852191658).

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

113002232310 is a wasteful number, since it uses less digits than its factorization.

113002232310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120750 (or 120747 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113002232310 its reverse (13232200311), we get a palindrome (126234432621).

The spelling of 113002232310 in words is "one hundred thirteen billion, two million, two hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 953 990 1906 2859 4765 5718 8577 9530 10483 14295 17154 20966 28590 31449 42885 52415 62898 85770 94347 104830 119773 157245 188694 239546 314490 359319 471735 598865 718638 943470 1077957 1197730 1317503 1796595 2155914 2635006 3593190 3952509 5389785 6587515 7905018 10779570 11857527 13175030 19762545 23715054 39525090 59287635 114143669 118575270 228287338 342431007 570718345 684862014 1027293021 1141436690 1255580359 1712155035 2054586042 2511160718 3424310070 3766741077 5136465105 6277901795 7533482154 10272930210 11300223231 12555803590 18833705385 22600446462 37667410770 56501116155 113002232310