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10001020020 = 2235477394799
BaseRepresentation
bin10010101000001101…
…10111010001110100
3221210222200110022220
421110012313101310
5130440230120040
64332220322340
7502556160525
oct112406672164
927728613286
1010001020020
114272351402
121b313a33b0
13c34c86834
146ac34a84c
153d80102d0
hex2541b7474

10001020020 has 96 divisors (see below), whose sum is σ = 28643328000. Its totient is φ = 2606120064.

The previous prime is 10001019983. The next prime is 10001020031. The reversal of 10001020020 is 2002010001.

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 = 10001019990 and 10001020008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2081581 + ... + 2086379.

It is an arithmetic number, because the mean of its divisors is an integer number (298368000).

Almost surely, 210001020020 is an apocalyptic number.

10001020020 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 10001020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321664000).

10001020020 is an abundant number, since it is smaller than the sum of its proper divisors (18642307980).

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

10001020020 is a wasteful number, since it uses less digits than its factorization.

10001020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5595 counting only the distinct ones).

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

Adding to 10001020020 its reverse (2002010001), we get a palindrome (12003030021).

The spelling of 10001020020 in words is "ten billion, one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 739 940 1410 1478 2217 2820 2956 3695 4434 4799 7390 8868 9598 11085 14397 14780 19196 22170 23995 28794 34733 44340 47990 57588 69466 71985 95980 104199 138932 143970 173665 208398 225553 287940 347330 416796 451106 520995 676659 694660 902212 1041990 1127765 1353318 2083980 2255530 2706636 3383295 3546461 4511060 6766590 7092922 10639383 13533180 14185844 17732305 21278766 35464610 42557532 53196915 70929220 106393830 166683667 212787660 333367334 500051001 666734668 833418335 1000102002 1666836670 2000204004 2500255005 3333673340 5000510010 10001020020