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100110200020 = 2256182057541
BaseRepresentation
bin101110100111100001…
…0000110110011010100
3100120101212000002020221
41131033002012303110
53120011202400040
6113553501004124
710142552442235
oct1351702066324
9316355002227
10100110200020
1139502663aa6
121749a853644
1395955b4b5c
144bb994908c
15290dc5674a
hex174f086cd4

100110200020 has 24 divisors (see below), whose sum is σ = 213677839368. Its totient is φ = 39387619200.

The previous prime is 100110199991. The next prime is 100110200033. The reversal of 100110200020 is 20002011001.

It can be written as a sum of positive squares in 4 ways, for example, as 14075924164 + 86034275856 = 118642^2 + 293316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100110199976 and 100110200012.

It is a congruent number.

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, 41027551 + ... + 41029990.

It is an arithmetic number, because the mean of its divisors is an integer number (8903243307).

Almost surely, 2100110200020 is an apocalyptic number.

100110200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110200020 is an abundant number, since it is smaller than the sum of its proper divisors (113567639348).

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

100110200020 is a wasteful number, since it uses less digits than its factorization.

100110200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82057611 (or 82057609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100110200020 its reverse (20002011001), we get a palindrome (120112211021).

The spelling of 100110200020 in words is "one hundred billion, one hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 82057541 164115082 328230164 410287705 820575410 1641150820 5005510001 10011020002 20022040004 25027550005 50055100010 100110200020