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100001200020 = 22356772461871
BaseRepresentation
bin101110100100010001…
…0010011011110010100
3100120010020220022100220
41131020202103132110
53114300301400040
6113535004434340
710140060114051
oct1351042233624
9316106808326
10100001200020
1139457085757
121746a2489b0
139578b3ca07
144ba9294028
1529043c52d0
hex1748893794

100001200020 has 48 divisors (see below), whose sum is σ = 280417068288. Its totient is φ = 26627585920.

The previous prime is 100001199979. The next prime is 100001200031. The reversal of 100001200020 is 20002100001.

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 a junction number, because it is equal to n+sod(n) for n = 100001199981 and 100001200008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190316 + ... + 1271555.

It is an arithmetic number, because the mean of its divisors is an integer number (5842022256).

Almost surely, 2100001200020 is an apocalyptic number.

100001200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001200020 is an abundant number, since it is smaller than the sum of its proper divisors (180415868268).

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

100001200020 is a wasteful number, since it uses less digits than its factorization.

100001200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462560 (or 2462558 counting only the distinct ones).

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

Adding to 100001200020 its reverse (20002100001), we get a palindrome (120003300021).

The spelling of 100001200020 in words is "one hundred billion, one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 677 1354 2031 2708 3385 4062 6770 8124 10155 13540 20310 40620 2461871 4923742 7385613 9847484 12309355 14771226 24618710 29542452 36928065 49237420 73856130 147712260 1666686667 3333373334 5000060001 6666746668 8333433335 10000120002 16666866670 20000240004 25000300005 33333733340 50000600010 100001200020