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100031342301 = 32115321190353
BaseRepresentation
bin101110100101001010…
…1010010011011011101
3100120012100121200210200
41131022111102123131
53114331010423201
6113542002454113
710140604244322
oct1351225223335
9316170550720
10100031342301
11394720a3030
1217478364339
139582164697
144bad29cb49
152906d7b386
hex174a5526dd

100031342301 has 48 divisors (see below), whose sum is σ = 161362124352. Its totient is φ = 59198630400.

The previous prime is 100031342297. The next prime is 100031342309. The reversal of 100031342301 is 103243130001.

100031342301 is a `hidden beast` number, since 10 + 0 + 0 + 313 + 42 + 301 = 666.

It is not a de Polignac number, because 100031342301 - 22 = 100031342297 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031342309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061941 + ... + 1152293.

It is an arithmetic number, because the mean of its divisors is an integer number (3361710924).

Almost surely, 2100031342301 is an apocalyptic number.

100031342301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100031342301 is a deficient number, since it is larger than the sum of its proper divisors (61330782051).

100031342301 is a wasteful number, since it uses less digits than its factorization.

100031342301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90634 (or 90631 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100031342301 its reverse (103243130001), we get a palindrome (203274472302).

The spelling of 100031342301 in words is "one hundred billion, thirty-one million, three hundred forty-two thousand, three hundred one".

Divisors: 1 3 9 11 33 53 99 159 211 477 583 633 1749 1899 2321 5247 6963 11183 20889 33549 90353 100647 123013 271059 369039 813177 993883 1107117 2981649 4788709 8944947 14366127 19064483 43098381 52675799 57193449 158027397 171580347 209709313 474082191 629127939 1010417599 1887383817 3031252797 9093758391 11114593589 33343780767 100031342301