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10120020020 = 22511197239977
BaseRepresentation
bin10010110110011001…
…10100000000110100
3222010021121021122022
421123030310000310
5131211211120040
64352111052312
7505532515355
oct113314640064
928107537568
1010120020020
11432353a910
121b65211098
13c53820536
146c0085d2c
153e36b96b5
hex25b334034

10120020020 has 96 divisors (see below), whose sum is σ = 23423178240. Its totient is φ = 3642275840.

The previous prime is 10120020013. The next prime is 10120020023. The reversal of 10120020020 is 2002002101.

10120020020 is a modest number, since divided by 20020 gives 10120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120020023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10357772 + ... + 10358748.

It is an arithmetic number, because the mean of its divisors is an integer number (243991440).

Almost surely, 210120020020 is an apocalyptic number.

10120020020 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 10120020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711589120).

10120020020 is an abundant number, since it is smaller than the sum of its proper divisors (13303158220).

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

10120020020 is a wasteful number, since it uses less digits than its factorization.

10120020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1431 counting only the distinct ones).

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

Adding to 10120020020 its reverse (2002002101), we get a palindrome (12122022121).

The spelling of 10120020020 in words is "ten billion, one hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 239 394 478 788 956 977 985 1195 1954 1970 2167 2390 2629 3908 3940 4334 4780 4885 5258 8668 9770 10516 10747 10835 13145 19540 21494 21670 26290 42988 43340 47083 52580 53735 94166 107470 188332 192469 214940 233503 235415 384938 467006 470830 517913 769876 934012 941660 962345 1035826 1167515 1924690 2071652 2117159 2335030 2568533 2589565 3849380 4234318 4670060 5137066 5179130 8468636 10274132 10358260 10585795 12842665 21171590 25685330 42343180 46000091 51370660 92000182 184000364 230000455 460000910 506001001 920001820 1012002002 2024004004 2530005005 5060010010 10120020020