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10230404130 = 23251014872311
BaseRepresentation
bin10011000011100011…
…11001010000100010
3222101222022101011200
421201301321100202
5131422440413010
64411053022030
7511343000052
oct114161712042
928358271150
1010230404130
11437a884051
121b96184916
13c7065b68b
146d09bb562
153ed220cc0
hex261c79422

10230404130 has 96 divisors (see below), whose sum is σ = 26929214208. Its totient is φ = 2694384000.

The previous prime is 10230404111. The next prime is 10230404167. The reversal of 10230404130 is 3140403201.

10230404130 is a `hidden beast` number, since 1 + 0 + 230 + 404 + 1 + 30 = 666.

It is a super-2 number, since 2×102304041302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4425675 + ... + 4427985.

It is an arithmetic number, because the mean of its divisors is an integer number (280512648).

Almost surely, 210230404130 is an apocalyptic number.

10230404130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230404130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464607104).

10230404130 is an abundant number, since it is smaller than the sum of its proper divisors (16698810078).

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

10230404130 is a wasteful number, since it uses less digits than its factorization.

10230404130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10230404130 its reverse (3140403201), we get a palindrome (13370807331).

The spelling of 10230404130 in words is "ten billion, two hundred thirty million, four hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 487 505 606 909 974 1010 1461 1515 1818 2311 2435 2922 3030 4383 4545 4622 4870 6933 7305 8766 9090 11555 13866 14610 20799 21915 23110 34665 41598 43830 49187 69330 98374 103995 147561 207990 233411 245935 295122 442683 466822 491870 700233 737805 885366 1125457 1167055 1400466 1475610 2100699 2213415 2250914 2334110 3376371 3501165 4201398 4426830 5627285 6752742 7002330 10129113 10503495 11254570 16881855 20258226 21006990 33763710 50645565 101291130 113671157 227342314 341013471 568355785 682026942 1023040413 1136711570 1705067355 2046080826 3410134710 5115202065 10230404130