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101131002112200 = 233521491564972287
BaseRepresentation
bin10110111111101001100101…
…011101001110100011001000
3111021002000210102022202220020
4112333221211131032203020
5101223412243020042300
6555030535131100440
730205321336364454
oct2677514535164310
9437060712282806
10101131002112200
112a2504652379a5
12b413a47ba1720
1344577c6ab29b8
141ad8aa3861664
15ba59b1d468a0
hex5bfa6574e8c8

101131002112200 has 192 divisors, whose sum is σ = 315634708800000. Its totient is φ = 26785189847040.

The previous prime is 101131002112183. The next prime is 101131002112201. The reversal of 101131002112200 is 2211200131101.

It is a super-2 number, since 2×1011310021122002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101131002112200.

It is not an unprimeable number, because it can be changed into a prime (101131002112201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398984457 + ... + 1399056743.

It is an arithmetic number, because the mean of its divisors is an integer number (1643930775000).

Almost surely, 2101131002112200 is an apocalyptic number.

101131002112200 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 101131002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157817354400000).

101131002112200 is an abundant number, since it is smaller than the sum of its proper divisors (214503706687800).

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

101131002112200 is a wasteful number, since it uses less digits than its factorization.

101131002112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88104 (or 88095 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101131002112200 its reverse (2211200131101), we get a palindrome (103342202243301).

The spelling of 101131002112200 in words is "one hundred one trillion, one hundred thirty-one billion, two million, one hundred twelve thousand, two hundred".