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113010321301200 = 24335211818860219
BaseRepresentation
bin11001101100100001000100…
…000011101001111011010000
3112211010200101121011111002000
4121230201010003221323100
5104303030114223114300
61040204120324354000
732542504053424041
oct3154410403517320
9484120347144060
10113010321301200
1133010454224264
12108121a7b45900
134b09a9b23707b
141dc9a2b9168c8
15d0e9d012ec00
hex66c8440e9ed0

113010321301200 has 240 divisors, whose sum is σ = 402573664737600. Its totient is φ = 30110564851200.

The previous prime is 113010321301139. The next prime is 113010321301231. The reversal of 113010321301200 is 2103123010311.

113010321301200 is a `hidden beast` number, since 1 + 1 + 30 + 10 + 321 + 301 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1130103213012002 (a number of 29 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8324691 + ... + 17184909.

It is an arithmetic number, because the mean of its divisors is an integer number (1677390269740).

Almost surely, 2113010321301200 is an apocalyptic number.

113010321301200 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 113010321301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201286832368800).

113010321301200 is an abundant number, since it is smaller than the sum of its proper divisors (289563343436400).

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

113010321301200 is a wasteful number, since it uses less digits than its factorization.

113010321301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861427 (or 8861410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113010321301200 its reverse (2103123010311), we get a palindrome (115113444311511).

The spelling of 113010321301200 in words is "one hundred thirteen trillion, ten billion, three hundred twenty-one million, three hundred one thousand, two hundred".