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131312311110 = 23351051346261
BaseRepresentation
bin111101001001011010…
…0101101101101000110
3110112221101021120001000
41322102310231231012
54122411422423420
6140153554314130
712326020141161
oct1722264555506
9415841246030
10131312311110
1150764415972
1221548288946
13c4c8a30296
1464d98b2ad8
153638186690
hex1e92d2db46

131312311110 has 64 divisors (see below), whose sum is σ = 350207040960. Its totient is φ = 35012528640.

The previous prime is 131312311061. The next prime is 131312311129. The reversal of 131312311110 is 11113213131.

131312311110 is a `hidden beast` number, since 1 + 31 + 312 + 311 + 1 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2815380 + ... + 2861640.

It is an arithmetic number, because the mean of its divisors is an integer number (5471985015).

Almost surely, 2131312311110 is an apocalyptic number.

131312311110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131312311110 is an abundant number, since it is smaller than the sum of its proper divisors (218894729850).

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

131312311110 is a wasteful number, since it uses less digits than its factorization.

131312311110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56790 (or 56784 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131312311110 its reverse (11113213131), we get a palindrome (142425524241).

The spelling of 131312311110 in words is "one hundred thirty-one billion, three hundred twelve million, three hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 10513 21026 31539 46261 52565 63078 92522 94617 105130 138783 157695 189234 231305 277566 283851 315390 416349 462610 473085 567702 693915 832698 946170 1249047 1387830 1419255 2081745 2498094 2838510 4163490 6245235 12490470 486341893 972683786 1459025679 2431709465 2918051358 4377077037 4863418930 7295128395 8754154074 13131231111 14590256790 21885385185 26262462222 43770770370 65656155555 131312311110