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131262513100 = 225217757101999
BaseRepresentation
bin111101000111111011…
…0101111111111001100
3110112210220120120000021
41322033312233333030
54122311200404400
6140145015111524
712324543644365
oct1721766577714
9415726516007
10131262513100
11507392a2994
12215336725a4
13c4bb615ac4
1464d302cb6c
153633aeb71a
hex1e8fdaffcc

131262513100 has 72 divisors (see below), whose sum is σ = 301996296000. Its totient is φ = 49350712320.

The previous prime is 131262513079. The next prime is 131262513119. The reversal of 131262513100 is 1315262131.

It is a happy number.

It is a super-2 number, since 2×1312625131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1235901 + ... + 1337899.

It is an arithmetic number, because the mean of its divisors is an integer number (4194393000).

Almost surely, 2131262513100 is an apocalyptic number.

131262513100 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 131262513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150998148000).

131262513100 is an abundant number, since it is smaller than the sum of its proper divisors (170733782900).

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

131262513100 is a wasteful number, since it uses less digits than its factorization.

131262513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102787 (or 102780 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 131262513100 its reverse (1315262131), we get a palindrome (132577775231).

The spelling of 131262513100 in words is "one hundred thirty-one billion, two hundred sixty-two million, five hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 757 850 1514 1700 3028 3785 7570 12869 15140 18925 25738 37850 51476 64345 75700 101999 128690 203998 257380 321725 407996 509995 643450 1019990 1286900 1733983 2039980 2549975 3467966 5099950 6935932 8669915 10199900 17339830 34679660 43349575 77213243 86699150 154426486 173398300 308852972 386066215 772132430 1312625131 1544264860 1930331075 2625250262 3860662150 5250500524 6563125655 7721324300 13126251310 26252502620 32815628275 65631256550 131262513100