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100100020200 = 23352803920753
BaseRepresentation
bin101110100111001101…
…1010001011111101000
3100120101010211220011120
41131032123101133220
53120001101121300
6113552454455240
710142400063405
oct1351633213750
9316333756146
10100100020200
11394a7940824
1217497364520
13959345c4ab
144bb84592ac
15290cde53a0
hex174e6d17e8

100100020200 has 96 divisors (see below), whose sum is σ = 310363617600. Its totient is φ = 26688732160.

The previous prime is 100100020199. The next prime is 100100020219. The reversal of 100100020200 is 2020001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4813024 + ... + 4833776.

It is an arithmetic number, because the mean of its divisors is an integer number (3232954350).

Almost surely, 2100100020200 is an apocalyptic number.

100100020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100020200 is an abundant number, since it is smaller than the sum of its proper divisors (210263597400).

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

100100020200 is a wasteful number, since it uses less digits than its factorization.

100100020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28811 (or 28802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100100020200 its reverse (2020001001), we get a palindrome (102120021201).

The spelling of 100100020200 in words is "one hundred billion, one hundred million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 8039 16078 20753 24117 32156 40195 41506 48234 62259 64312 80390 83012 96468 103765 120585 124518 160780 166024 192936 200975 207530 241170 249036 311295 321560 401950 415060 482340 498072 518825 602925 622590 803900 830120 964680 1037650 1205850 1245180 1556475 1607800 2075300 2411700 2490360 3112950 4150600 4823400 6225900 12451800 166833367 333666734 500500101 667333468 834166835 1001000202 1334666936 1668333670 2002000404 2502500505 3336667340 4004000808 4170834175 5005001010 6673334680 8341668350 10010002020 12512502525 16683336700 20020004040 25025005050 33366673400 50050010100 100100020200