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100443103434 = 2341215751001
BaseRepresentation
bin101110110001011100…
…0000010000011001010
3100121021001102022220000
41131202320002003022
53121201413302214
6114050512143430
710154034202152
oct1354270020312
9317231368800
10100443103434
1139663571293
1217572237b76
13961956331b
144c0bc45762
15292d0b4809
hex1762e020ca

100443103434 has 40 divisors (see below), whose sum is σ = 225089880708. Its totient is φ = 33477624000.

The previous prime is 100443103421. The next prime is 100443103463. The reversal of 100443103434 is 434301344001.

100443103434 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 310 + 343 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99037978209 + 1405125225 = 314703^2 + 37485^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100443103398 and 100443103407.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1943934 + ... + 1994934.

Almost surely, 2100443103434 is an apocalyptic number.

100443103434 is an abundant number, since it is smaller than the sum of its proper divisors (124646777274).

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

100443103434 is a wasteful number, since it uses less digits than its factorization.

100443103434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63172 (or 63163 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100443103434 its reverse (434301344001), we get a palindrome (534744447435).

The spelling of 100443103434 in words is "one hundred billion, four hundred forty-three million, one hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 12157 24314 36471 51001 72942 102002 109413 153003 218826 306006 328239 459009 656478 918018 984717 1377027 1969434 2754054 4131081 8262162 620019157 1240038314 1860057471 3720114942 5580172413 11160344826 16740517239 33481034478 50221551717 100443103434