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100600106000 = 245350300053
BaseRepresentation
bin101110110110000111…
…0111100110000010000
3100121122222211212220212
41131230032330300100
53122012111343000
6114114241223252
710160651535452
oct1355416746020
9317588755825
10100600106000
1139734156679
12175b6931b28
139642c44654
144c24a342d2
15293bc78c35
hex176c3bcc10

100600106000 has 40 divisors (see below), whose sum is σ = 243251061144. Its totient is φ = 40240041600.

The previous prime is 100600105997. The next prime is 100600106021. The reversal of 100600106000 is 601006001.

It can be written as a sum of positive squares in 4 ways, for example, as 14714896 + 100585391104 = 3836^2 + 317152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1006001060002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25148027 + ... + 25152026.

Almost surely, 2100600106000 is an apocalyptic number.

100600106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100600106000 is an abundant number, since it is smaller than the sum of its proper divisors (142650955144).

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

100600106000 is an equidigital number, since it uses as much as digits as its factorization.

100600106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50300076 (or 50300060 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Subtracting from 100600106000 its reverse (601006001), we obtain a palindrome (99999099999).

The spelling of 100600106000 in words is "one hundred billion, six hundred million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 50300053 100600106 201200212 251500265 402400424 503000530 804800848 1006001060 1257501325 2012002120 2515002650 4024004240 5030005300 6287506625 10060010600 12575013250 20120021200 25150026500 50300053000 100600106000