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100420234000 = 2453411224637
BaseRepresentation
bin101110110000110000…
…0110010101100010000
3100121012110101102220221
41131201200302230100
53121130034442000
6114044334042424
710153335622342
oct1354140625420
9317173342827
10100420234000
1139651671129
1217566649414
1396148b6b08
144c08bb1292
15292b09861a
hex1761832b10

100420234000 has 80 divisors (see below), whose sum is σ = 248738673456. Its totient is φ = 39188352000.

The previous prime is 100420233941. The next prime is 100420234009. The reversal of 100420234000 is 432024001.

It can be written as a sum of positive squares in 8 ways, for example, as 91932665616 + 8487568384 = 303204^2 + 92128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1004202340002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100420234009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530319 + ... + 694318.

Almost surely, 2100420234000 is an apocalyptic number.

100420234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100420234000 is an abundant number, since it is smaller than the sum of its proper divisors (148318439456).

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

100420234000 is a wasteful number, since it uses less digits than its factorization.

100420234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224701 (or 1224685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 100420234000 its reverse (432024001), we get a palindrome (100852258001).

The spelling of 100420234000 in words is "one hundred billion, four hundred twenty million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 1224637 2449274 4898548 6123185 9797096 12246370 19594192 24492740 30615925 48985480 50210117 61231850 97970960 100420234 122463700 153079625 200840468 244927400 251050585 306159250 401680936 489854800 502101170 612318500 803361872 1004202340 1224637000 1255252925 2008404680 2449274000 2510505850 4016809360 5021011700 6276264625 10042023400 12552529250 20084046800 25105058500 50210117000 100420234000