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131302444100 = 225213915760167
BaseRepresentation
bin111101001001000111…
…1000100110001000100
3110112220200201021001012
41322102033010301010
54122401411202400
6140153003021352
712325540234322
oct1722217046104
9415820637035
10131302444100
1150759896713
1221544b0a858
13c4c6987109
1464d8464d12
153637387d35
hex1e923c4c44

131302444100 has 72 divisors (see below), whose sum is σ = 288808806720. Its totient is φ = 51810145920.

The previous prime is 131302444087. The next prime is 131302444109. The reversal of 131302444100 is 1444203131.

It is not an unprimeable number, because it can be changed into a prime (131302444109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152217 + ... + 2212383.

Almost surely, 2131302444100 is an apocalyptic number.

131302444100 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 131302444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144404403360).

131302444100 is an abundant number, since it is smaller than the sum of its proper divisors (157506362620).

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

131302444100 is a wasteful number, since it uses less digits than its factorization.

131302444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60477 (or 60470 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 131302444100 its reverse (1444203131), we get a palindrome (132746647231).

The spelling of 131302444100 in words is "one hundred thirty-one billion, three hundred two million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 157 278 314 556 628 695 785 1390 1570 2780 3140 3475 3925 6950 7850 13900 15700 21823 43646 60167 87292 109115 120334 218230 240668 300835 436460 545575 601670 1091150 1203340 1504175 2182300 3008350 6016700 8363213 9446219 16726426 18892438 33452852 37784876 41816065 47231095 83632130 94462190 167264260 188924380 209080325 236155475 418160650 472310950 836321300 944621900 1313024441 2626048882 5252097764 6565122205 13130244410 26260488820 32825611025 65651222050 131302444100