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113222101001130 = 2335111093121112061
BaseRepresentation
bin11001101111100110010011…
…000111000110001110101010
3112211212221000220000221001000
4121233212103013012032222
5104320012330324014010
61040445303134335430
732564012132241402
oct3157462307061652
9484787026027030
10113222101001130
1133092250359360
121084725065a576
134b23a4bb76894
141dd5d9c26b802
15d1527780a7c0
hex66f9931c63aa

113222101001130 has 256 divisors, whose sum is σ = 332504628825600. Its totient is φ = 27187011072000.

The previous prime is 113222101001129. The next prime is 113222101001161. The reversal of 113222101001130 is 31100101222311.

113222101001130 is a `hidden beast` number, since 1 + 1 + 322 + 210 + 1 + 0 + 0 + 1 + 130 = 666.

It is a super-2 number, since 2×1132221010011302 (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1010305300 + ... + 1010417360.

It is an arithmetic number, because the mean of its divisors is an integer number (1298846206350).

Almost surely, 2113222101001130 is an apocalyptic number.

113222101001130 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 113222101001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166252314412800).

113222101001130 is an abundant number, since it is smaller than the sum of its proper divisors (219282527824470).

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

113222101001130 is a wasteful number, since it uses less digits than its factorization.

113222101001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115318 (or 115312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113222101001130 its reverse (31100101222311), we get a palindrome (144322202223441).

The spelling of 113222101001130 in words is "one hundred thirteen trillion, two hundred twenty-two billion, one hundred one million, one thousand, one hundred thirty".