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130111020 = 223251355603
BaseRepresentation
bin1111100000101…
…01011000101100
3100001211022202200
413300111120230
5231302023040
620524421500
73136632264
oct760253054
9301738680
10130111020
1167498376
12376a7890
1320c57190
14133cc7a4
15b651630
hex7c1562c

130111020 has 72 divisors (see below), whose sum is σ = 425036976. Its totient is φ = 32026752.

The previous prime is 130111019. The next prime is 130111021. The reversal of 130111020 is 20111031.

It is an interprime number because it is at equal distance from previous prime (130111019) and next prime (130111021).

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 = 130110993 and 130111011.

It is not an unprimeable number, because it can be changed into a prime (130111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25462 + ... + 30141.

Almost surely, 2130111020 is an apocalyptic number.

130111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130111020 is an abundant number, since it is smaller than the sum of its proper divisors (294925956).

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

130111020 is a wasteful number, since it uses less digits than its factorization.

130111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55631 (or 55626 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 130111020 is about 11406.6217610649. The cubic root of 130111020 is about 506.7238672340.

Adding to 130111020 its reverse (20111031), we get a palindrome (150222051).

It can be divided in two parts, 1301 and 11020, that added together give a palindrome (12321).

The spelling of 130111020 in words is "one hundred thirty million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 55603 111206 166809 222412 278015 333618 500427 556030 667236 722839 834045 1000854 1112060 1445678 1668090 2001708 2168517 2502135 2891356 3336180 3614195 4337034 5004270 6505551 7228390 8674068 10008540 10842585 13011102 14456780 21685170 26022204 32527755 43370340 65055510 130111020