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100404120399 = 3112276595373
BaseRepresentation
bin101110110000010001…
…1010100101101001111
3100121011100001210012220
41131200203110231033
53121111423323044
6114043000430423
710153051641042
oct1354043245517
9317140053186
10100404120399
1139643565800
1217561178413
13961146463b
144c069b8c59
152929964019
hex17608d4b4f

100404120399 has 12 divisors (see below), whose sum is σ = 147148738968. Its totient is φ = 60850981840.

The previous prime is 100404120389. The next prime is 100404120409. The reversal of 100404120399 is 993021404001.

It is an interprime number because it is at equal distance from previous prime (100404120389) and next prime (100404120409).

It is not a de Polignac number, because 100404120399 - 211 = 100404118351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100404120389) 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 11 ways as a sum of consecutive naturals, for example, 138297324 + ... + 138298049.

It is an arithmetic number, because the mean of its divisors is an integer number (12262394914).

Almost surely, 2100404120399 is an apocalyptic number.

100404120399 is a deficient number, since it is larger than the sum of its proper divisors (46744618569).

100404120399 is a wasteful number, since it uses less digits than its factorization.

100404120399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276595398 (or 276595387 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 100404120399 in words is "one hundred billion, four hundred four million, one hundred twenty thousand, three hundred ninety-nine".

Divisors: 1 3 11 33 121 363 276595373 829786119 3042549103 9127647309 33468040133 100404120399