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10012020000 = 25354166867
BaseRepresentation
bin10010101001100001…
…10100110100100000
3221211202101022110120
421110300310310200
5131001034120000
64333252200240
7503051523453
oct112460646440
927752338416
1010012020000
1142785848a4
121b35009080
13c373385b8
146ad9b149a
153d8e846a0
hex254c34d20

10012020000 has 120 divisors (see below), whose sum is σ = 32841624816. Its totient is φ = 2669856000.

The previous prime is 10012019993. The next prime is 10012020013. The reversal of 10012020000 is 2021001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23434 + ... + 143433.

Almost surely, 210012020000 is an apocalyptic number.

10012020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420812408).

10012020000 is an abundant number, since it is smaller than the sum of its proper divisors (22829604816).

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

10012020000 is an equidigital number, since it uses as much as digits as its factorization.

10012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166900 (or 166877 counting only the distinct ones).

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

Adding to 10012020000 its reverse (2021001), we get a palindrome (10014041001).

The spelling of 10012020000 in words is "ten billion, twelve million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 166867 333734 500601 667468 834335 1001202 1334936 1668670 2002404 2503005 2669872 3337340 4004808 4171675 5006010 5339744 6674680 8009616 8343350 10012020 12515025 13349360 16019232 16686700 20024040 20858375 25030050 26698720 33373400 40048080 41716750 50060100 62575125 66746800 80096160 83433500 100120200 104291875 125150250 133493600 166867000 200240400 208583750 250300500 312875625 333734000 400480800 417167500 500601000 625751250 667468000 834335000 1001202000 1251502500 1668670000 2002404000 2503005000 3337340000 5006010000 10012020000