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100002012020 = 22519344835779
BaseRepresentation
bin101110100100010010…
…1011001101101110100
3100120010022102120012222
41131020211121231310
53114301003341040
6113535034101512
710140100035311
oct1351045315564
9316108376188
10100002012020
113945758a829
121746a57a898
1395790654a1
144ba9425d08
1529044d5bb5
hex1748959b74

100002012020 has 48 divisors (see below), whose sum is σ = 211175952960. Its totient is φ = 39777785856.

The previous prime is 100002012013. The next prime is 100002012023. The reversal of 100002012020 is 20210200001.

It is a junction number, because it is equal to n+sod(n) for n = 100002011989 and 100002012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002012023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17301491 + ... + 17307269.

It is an arithmetic number, because the mean of its divisors is an integer number (4399499020).

Almost surely, 2100002012020 is an apocalyptic number.

100002012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002012020 is an abundant number, since it is smaller than the sum of its proper divisors (111173940940).

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

100002012020 is a wasteful number, since it uses less digits than its factorization.

100002012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100002012020 its reverse (20210200001), we get a palindrome (120212212021).

The spelling of 100002012020 in words is "one hundred billion, two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 4483 5779 8966 11558 17932 22415 23116 28895 44830 57790 89660 115580 865219 1115347 1730438 2230694 3460876 4326095 4461388 5576735 8652190 11153470 17304380 22306940 25907257 51814514 103629028 129536285 259072570 518145140 5000100601 10000201202 20000402404 25000503005 50001006010 100002012020