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10001230020 = 22325443125423
BaseRepresentation
bin10010101000001111…
…01010100011000100
3221211000002010101200
421110013222203010
5130440303330040
64332225022500
7502561024005
oct112407524304
927730063350
1010001230020
114272485161
121b31484a30
13c3502b2b2
146ac3a31ac
153d8052630
hex2541ea8c4

10001230020 has 72 divisors (see below), whose sum is σ = 30405787776. Its totient is φ = 2660953152.

The previous prime is 10001230003. The next prime is 10001230021. The reversal of 10001230020 is 2003210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001229984 and 10001230011.

It is not an unprimeable number, because it can be changed into a prime (10001230021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17029 + ... + 142451.

It is an arithmetic number, because the mean of its divisors is an integer number (422302608).

Almost surely, 210001230020 is an apocalyptic number.

10001230020 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 10001230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202893888).

10001230020 is an abundant number, since it is smaller than the sum of its proper divisors (20404557756).

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

10001230020 is a wasteful number, since it uses less digits than its factorization.

10001230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125881 (or 125876 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10001230020 its reverse (2003210001), we get a palindrome (12004440021).

The spelling of 10001230020 in words is "ten billion, one million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 886 1329 1772 2215 2658 3987 4430 5316 6645 7974 8860 13290 15948 19935 26580 39870 79740 125423 250846 376269 501692 627115 752538 1128807 1254230 1505076 1881345 2257614 2508460 3762690 4515228 5644035 7525380 11288070 22576140 55562389 111124778 166687167 222249556 277811945 333374334 500061501 555623890 666748668 833435835 1000123002 1111247780 1666871670 2000246004 2500307505 3333743340 5000615010 10001230020