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100220021020 = 2257715857293
BaseRepresentation
bin101110101010110010…
…1000010100100011100
3100120200111122120100101
41131111211002210130
53120222311133040
6114012422510444
710145355060130
oct1352545024434
9316614576311
10100220021020
1139559653159
121750b595424
1395b22868b2
144bca3753c0
1529186eb09a
hex175594291c

100220021020 has 24 divisors (see below), whose sum is σ = 240528050784. Its totient is φ = 34361150016.

The previous prime is 100220020963. The next prime is 100220021023. The reversal of 100220021020 is 20120022001.

It is a super-2 number, since 2×1002200210202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100220020988 and 100220021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220021023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 357928507 + ... + 357928786.

It is an arithmetic number, because the mean of its divisors is an integer number (10022002116).

Almost surely, 2100220021020 is an apocalyptic number.

100220021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220021020 is an abundant number, since it is smaller than the sum of its proper divisors (140308029764).

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

100220021020 is a wasteful number, since it uses less digits than its factorization.

100220021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715857309 (or 715857307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100220021020 its reverse (20120022001), we get a palindrome (120340043021).

The spelling of 100220021020 in words is "one hundred billion, two hundred twenty million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 715857293 1431714586 2863429172 3579286465 5011001051 7158572930 10022002102 14317145860 20044004204 25055005255 50110010510 100220021020