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131130203202 = 23237367536491
BaseRepresentation
bin111101000011111111…
…0000001110001000010
3110112110200121111221200
41322013332001301002
54122023313000302
6140123531202030
712321346223265
oct1720776016102
9415420544850
10131130203202
1150680643569
12214b72a6316
13c49a09bb1b
1464bd62acdc
1536271b381c
hex1e87f81c42

131130203202 has 48 divisors (see below), whose sum is σ = 292589860992. Its totient is φ = 42412753440.

The previous prime is 131130203177. The next prime is 131130203231. The reversal of 131130203202 is 202302031131.

131130203202 is a `hidden beast` number, since 1 + 311 + 30 + 2 + 0 + 320 + 2 = 666.

It is a super-2 number, since 2×1311302032022 (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23824 + ... + 512667.

It is an arithmetic number, because the mean of its divisors is an integer number (6095622104).

Almost surely, 2131130203202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131130203202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146294930496).

131130203202 is an abundant number, since it is smaller than the sum of its proper divisors (161459657790).

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

131130203202 is a wasteful number, since it uses less digits than its factorization.

131130203202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536903 (or 536900 counting only the distinct ones).

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

Adding to 131130203202 its reverse (202302031131), we get a palindrome (333432234333).

The spelling of 131130203202 in words is "one hundred thirty-one billion, one hundred thirty million, two hundred three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 367 666 734 1101 2202 3303 6606 13579 27158 40737 81474 122211 244422 536491 1072982 1609473 3218946 4828419 9656838 19850167 39700334 59550501 119101002 178651503 196892197 357303006 393784394 590676591 1181353182 1772029773 3544059546 7285011289 14570022578 21855033867 43710067734 65565101601 131130203202