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100408334429 = 1315373502421
BaseRepresentation
bin101110110000011001…
…1011001100001011101
3100121011121222212210002
41131200303121201131
53121114013200204
6114043231024045
710153132521614
oct1354063314135
9317147885702
10100408334429
1139645983877
121756266b025
1396122ab750
144c0739487b
152929ee791e
hex1760cd985d

100408334429 has 8 divisors (see below), whose sum is σ = 108139301592. Its totient is φ = 92678402880.

The previous prime is 100408334381. The next prime is 100408334431. The reversal of 100408334429 is 924433804001.

It can be written as a sum of positive squares in 4 ways, for example, as 7361983204 + 93046351225 = 85802^2 + 305035^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100408334429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100408334392 and 100408334401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100408334459) 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 7 ways as a sum of consecutive naturals, for example, 51362 + ... + 451059.

It is an arithmetic number, because the mean of its divisors is an integer number (13517412699).

Almost surely, 2100408334429 is an apocalyptic number.

It is an amenable number.

100408334429 is a deficient number, since it is larger than the sum of its proper divisors (7730967163).

100408334429 is a wasteful number, since it uses less digits than its factorization.

100408334429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517807.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 100408334429 in words is "one hundred billion, four hundred eight million, three hundred thirty-four thousand, four hundred twenty-nine".

Divisors: 1 13 15373 199849 502421 6531473 7723718033 100408334429