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131100001302024 = 233217107107844201
BaseRepresentation
bin11101110011110000011001…
…000000011111011000001000
3122012012001000111112012112200
4131303300121000133120020
5114140420300313131044
61142454301551240200
736420443150411136
oct3563603100373010
9565161014465480
10131100001302024
113885521aa68477
1212854085219060
13581c8a56c7c91
1424533b98c4756
15102532a205369
hex773c1901f608

131100001302024 has 48 divisors (see below), whose sum is σ = 375948533149020. Its totient is φ = 41129412172800.

The previous prime is 131100001301977. The next prime is 131100001302037. The reversal of 131100001302024 is 420203100001131.

It can be written as a sum of positive squares in 2 ways, for example, as 127356867562500 + 3743133739524 = 11285250^2 + 1934718^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131100001301988 and 131100001302006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53553920877 + ... + 53553923324.

Almost surely, 2131100001302024 is an apocalyptic number.

It is an amenable number.

131100001302024 is an abundant number, since it is smaller than the sum of its proper divisors (244848531846996).

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

131100001302024 is a wasteful number, since it uses less digits than its factorization.

131100001302024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107107844230 (or 107107844223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131100001302024 its reverse (420203100001131), we get a palindrome (551303101303155).

The spelling of 131100001302024 in words is "one hundred thirty-one trillion, one hundred billion, one million, three hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 107107844201 214215688402 321323532603 428431376804 642647065206 856862753608 963970597809 1285294130412 1820833351417 1927941195618 2570588260824 3641666702834 3855882391236 5462500054251 7283333405668 7711764782472 10925000108502 14566666811336 16387500162753 21850000217004 32775000325506 43700000434008 65550000651012 131100001302024