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10130113001020 = 2251747995365269
BaseRepresentation
bin1001001101101001100111…
…0010010111011000111100
31022212102120222210112201011
42103122121302113120330
52311432432412013040
633313413142125004
72063606433532555
oct223323162273074
938772528715634
1010130113001020
11325617a774521
12117734a420764
1358635b57635c
1427042b61132c
15128792b783ea
hex93699c9763c

10130113001020 has 96 divisors (see below), whose sum is σ = 22595659430400. Its totient is φ = 3801676161024.

The previous prime is 10130113001017. The next prime is 10130113001027. The reversal of 10130113001020 is 2010031103101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130113001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155172946 + ... + 155238214.

It is an arithmetic number, because the mean of its divisors is an integer number (235371452400).

Almost surely, 210130113001020 is an apocalyptic number.

10130113001020 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 10130113001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297829715200).

10130113001020 is an abundant number, since it is smaller than the sum of its proper divisors (12465546429380).

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

10130113001020 is a wasteful number, since it uses less digits than its factorization.

10130113001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66727 (or 66725 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10130113001020 its reverse (2010031103101), we get a palindrome (12140144104121).

The spelling of 10130113001020 in words is "ten trillion, one hundred thirty billion, one hundred thirteen million, one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 479 953 958 1906 1916 2395 3812 4765 4790 8143 9530 9580 16201 16286 19060 32402 32572 40715 64804 65269 81005 81430 130538 162010 162860 261076 324020 326345 456487 652690 912974 1109573 1305380 1825948 2219146 2282435 4438292 4564870 5547865 7760279 9129740 11095730 15520558 22191460 31041116 31263851 38801395 62201357 62527702 77602790 124402714 125055404 155205580 156319255 248805428 311006785 312638510 531485467 622013570 625277020 1057423069 1062970934 1244027140 2114846138 2125941868 2657427335 4229692276 5287115345 5314854670 10574230690 10629709340 21148461380 29794450003 59588900006 119177800012 148972250015 297944500030 506505650051 595889000060 1013011300102 2026022600204 2532528250255 5065056500510 10130113001020