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100201023321 = 3724124777993
BaseRepresentation
bin101110101010001110…
…0100100011101011001
3100120122011220101101220
41131110130210131121
53120202430221241
6114010503402253
710145034434220
oct1352434443531
9316564811356
10100201023321
1139549957983
1217505153389
1395ab364759
144bc7a2bcb7
152916be7166
hex1754724759

100201023321 has 32 divisors (see below), whose sum is σ = 153401918208. Its totient is φ = 56989992960.

The previous prime is 100201023319. The next prime is 100201023353. The reversal of 100201023321 is 123320102001.

It is not a de Polignac number, because 100201023321 - 21 = 100201023319 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100201023321.

It is not an unprimeable number, because it can be changed into a prime (100201023301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12532101 + ... + 12540093.

It is an arithmetic number, because the mean of its divisors is an integer number (4793809944).

Almost surely, 2100201023321 is an apocalyptic number.

It is an amenable number.

100201023321 is a deficient number, since it is larger than the sum of its proper divisors (53200894887).

100201023321 is a wasteful number, since it uses less digits than its factorization.

100201023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100201023321 its reverse (123320102001), we get a palindrome (223521125322).

The spelling of 100201023321 in words is "one hundred billion, two hundred one million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 21 241 723 1687 2477 5061 7431 7993 17339 23979 52017 55951 167853 596957 1790871 1926313 4178699 5778939 12536097 13484191 19798661 40452573 59395983 138590627 415771881 4771477301 14314431903 33400341107 100201023321