Search a number
-
+
100101009969928 = 231110311103308901
BaseRepresentation
bin10110110000101010010101…
…001001000001001100001000
3111010102120012111101122211001
4112300222111021001030020
5101110023332023014203
6552521434044544344
730041026225544422
oct2660522511011410
9433376174348731
10100101009969928
1129993666555670
12b2882b58520b4
1343b163bc73816
141aa0cb4057812
15b88ccc50991d
hex5b0a95241308

100101009969928 has 32 divisors (see below), whose sum is σ = 204950661635520. Its totient is φ = 45456326680000.

The previous prime is 100101009969899. The next prime is 100101009969929. The reversal of 100101009969928 is 829969900101001.

It is not an unprimeable number, because it can be changed into a prime (100101009969929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551563723 + ... + 551745178.

It is an arithmetic number, because the mean of its divisors is an integer number (6404708176110).

Almost surely, 2100101009969928 is an apocalyptic number.

It is an amenable number.

100101009969928 is an abundant number, since it is smaller than the sum of its proper divisors (104849651665592).

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

100101009969928 is a wasteful number, since it uses less digits than its factorization.

100101009969928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103309949 (or 1103309945 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 55.

The spelling of 100101009969928 in words is "one hundred trillion, one hundred one billion, nine million, nine hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 1031 2062 4124 8248 11341 22682 45364 90728 1103308901 2206617802 4413235604 8826471208 12136397911 24272795822 48545591644 97091183288 1137511476931 2275022953862 4550045907724 9100091815448 12512626246241 25025252492482 50050504984964 100101009969928