Search a number
-
+
100301421000123 = 3372554432077549
BaseRepresentation
bin10110110011100100111110…
…100100011011010110111011
3111011010201111111002211202000
4112303210332210123112323
5101121314302234000443
6553153500420512043
730061352500313250
oct2663447644332673
9434121444084660
10100301421000123
1129a60659335942
12b2bb106b4b623
1343c74ca496a15
141aaa886971427
15b8e10bac08d3
hex5b393e91b5bb

100301421000123 has 32 divisors (see below), whose sum is σ = 169823258304000. Its totient is φ = 57314845751328.

The previous prime is 100301421000059. The next prime is 100301421000149. The reversal of 100301421000123 is 321000124103001.

100301421000123 is a `hidden beast` number, since 100 + 301 + 42 + 100 + 0 + 123 = 666.

It is not a de Polignac number, because 100301421000123 - 26 = 100301421000059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100301421000096 and 100301421000105.

It is not an unprimeable number, because it can be changed into a prime (100301421000023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47239953 + ... + 49317501.

It is an arithmetic number, because the mean of its divisors is an integer number (5306976822000).

Almost surely, 2100301421000123 is an apocalyptic number.

100301421000123 is a deficient number, since it is larger than the sum of its proper divisors (69521837303877).

100301421000123 is a wasteful number, since it uses less digits than its factorization.

100301421000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333008 (or 2333002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100301421000123 its reverse (321000124103001), we get a palindrome (421301545103124).

The spelling of 100301421000123 in words is "one hundred trillion, three hundred one billion, four hundred twenty-one million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 189 255443 766329 1788101 2077549 2298987 5364303 6232647 6896961 14542843 16092909 18697941 43628529 48278727 56093823 130885587 392656761 530695349207 1592086047621 3714867444449 4776258142863 11144602333347 14328774428589 33433807000041 100301421000123