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113210123200 = 2652691102397
BaseRepresentation
bin110100101101111011…
…0010110001111000000
3101211012210211010112221
41221123312112033000
53323323242420300
6124001421500424
711115311112136
oct1513366261700
9354183733487
10113210123200
1144015188199
1219b35a11714
13a8a25a13a5
14569d685756
152e28d4531a
hex1a5bd963c0

113210123200 has 84 divisors (see below), whose sum is σ = 278973520792. Its totient is φ = 45218073600.

The previous prime is 113210123099. The next prime is 113210123207. The reversal of 113210123200 is 2321012311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113210123207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1054402 + ... + 1156798.

Almost surely, 2113210123200 is an apocalyptic number.

113210123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113210123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139486760396).

113210123200 is an abundant number, since it is smaller than the sum of its proper divisors (165763397592).

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

113210123200 is a wasteful number, since it uses less digits than its factorization.

113210123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103110 (or 103095 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113210123200 its reverse (2321012311), we get a palindrome (115531135511).

The spelling of 113210123200 in words is "one hundred thirteen billion, two hundred ten million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 691 800 1382 1600 2764 3455 5528 6910 11056 13820 17275 22112 27640 34550 44224 55280 69100 102397 110560 138200 204794 221120 276400 409588 511985 552800 819176 1023970 1105600 1638352 2047940 2559925 3276704 4095880 5119850 6553408 8191760 10239700 16383520 20479400 32767040 40958800 70756327 81917600 141512654 163835200 283025308 353781635 566050616 707563270 1132101232 1415126540 1768908175 2264202464 2830253080 3537816350 4528404928 5660506160 7075632700 11321012320 14151265400 22642024640 28302530800 56605061600 113210123200