Search a number
-
+
100320433132131 = 3241822133070319
BaseRepresentation
bin10110110011110110101011…
…110001111101001001100011
3111011012112120110210012212100
4112303312223301331021203
5101122122221340212011
6553210323140501443
730062624565625452
oct2663665361751143
9434175513705770
10100320433132131
1129a68725178033
12b3029320aa883
1343c923a2c1584
141aab76b986b99
15b8e870c54d56
hex5b3dabc7d263

100320433132131 has 24 divisors (see below), whose sum is σ = 148459677387840. Its totient is φ = 65241123350400.

The previous prime is 100320433132103. The next prime is 100320433132163. The reversal of 100320433132131 is 131231334023001.

100320433132131 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 0 + 4 + 331 + 321 + 3 + 1 = 666.

It is not a de Polignac number, because 100320433132131 - 233 = 100311843197539 is a prime.

It is a super-2 number, since 2×1003204331321312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100320433132095 and 100320433132104.

It is not an unprimeable number, because it can be changed into a prime (100320433133131) 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, 13501611 + ... + 19568708.

It is an arithmetic number, because the mean of its divisors is an integer number (6185819891160).

Almost surely, 2100320433132131 is an apocalyptic number.

100320433132131 is a deficient number, since it is larger than the sum of its proper divisors (48139244255709).

100320433132131 is a wasteful number, since it uses less digits than its factorization.

100320433132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33078587 (or 33078584 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 100320433132131 its reverse (131231334023001), we get a palindrome (231551767155132).

The spelling of 100320433132131 in words is "one hundred trillion, three hundred twenty billion, four hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 41 123 369 8221 24663 73989 337061 1011183 3033549 33070319 99210957 297632871 1355883079 4067649237 12202947711 271871092499 815613277497 2446839832491 11146714792459 33440144377377 100320433132131