Search a number
-
+
131020031320 = 2354125633461
BaseRepresentation
bin111101000000101100…
…1110000010101011000
3110112012000022012112121
41322001121300111120
54121312112000240
6140104553551024
712315540614413
oct1720131602530
9415160265477
10131020031320
1150624434822
1221486415474
13c480306469
1464acb4cb7a
15361c6a004a
hex1e81670558

131020031320 has 96 divisors (see below), whose sum is σ = 302784719760. Its totient is φ = 51024204800.

The previous prime is 131020031309. The next prime is 131020031347. The reversal of 131020031320 is 23130020131.

It is a junction number, because it is equal to n+sod(n) for n = 131020031294 and 131020031303.

It is a congruent number.

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, 37854390 + ... + 37857850.

Almost surely, 2131020031320 is an apocalyptic number.

131020031320 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 131020031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151392359880).

131020031320 is an abundant number, since it is smaller than the sum of its proper divisors (171764688440).

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

131020031320 is a wasteful number, since it uses less digits than its factorization.

131020031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131020031320 its reverse (23130020131), we get a palindrome (154150051451).

The spelling of 131020031320 in words is "one hundred thirty-one billion, twenty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 563 820 1126 1640 1681 2252 2815 3362 3461 4504 5630 6724 6922 8405 11260 13448 13844 16810 17305 22520 23083 27688 33620 34610 46166 67240 69220 92332 115415 138440 141901 184664 230830 283802 461660 567604 709505 923320 946403 1135208 1419010 1892806 1948543 2838020 3785612 3897086 4732015 5676040 5817941 7571224 7794172 9464030 9742715 11635882 15588344 18928060 19485430 23271764 29089705 37856120 38970860 46543528 58179410 77941720 79890263 116358820 159780526 232717640 319561052 399451315 639122104 798902630 1597805260 3195610520 3275500783 6551001566 13102003132 16377503915 26204006264 32755007830 65510015660 131020031320