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130001120 = 2553372411
BaseRepresentation
bin1111011111110…
…10100011100000
3100001121202000022
413233322203200
5231240013440
620522213012
73135664004
oct757724340
9301552008
10130001120
1167422847
1237654168
1320c19152
14133a0704
15b62dcb5
hex7bfa8e0

130001120 has 48 divisors (see below), whose sum is σ = 308166768. Its totient is φ = 51824640.

The previous prime is 130001117. The next prime is 130001149. The reversal of 130001120 is 21100031.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 130001098 and 130001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52715 + ... + 55125.

It is an arithmetic number, because the mean of its divisors is an integer number (6420141).

Almost surely, 2130001120 is an apocalyptic number.

130001120 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 130001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154083384).

130001120 is an abundant number, since it is smaller than the sum of its proper divisors (178165648).

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

130001120 is a wasteful number, since it uses less digits than its factorization.

130001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 130001120 is about 11401.8033661347. The cubic root of 130001120 is about 506.5811566989.

Adding to 130001120 its reverse (21100031), we get a palindrome (151101151).

It can be divided in two parts, 1300011 and 20, that added together give a palindrome (1300031).

The spelling of 130001120 in words is "one hundred thirty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1685 2411 2696 3370 4822 5392 6740 9644 10784 12055 13480 19288 24110 26960 38576 48220 53920 77152 96440 192880 385760 812507 1625014 3250028 4062535 6500056 8125070 13000112 16250140 26000224 32500280 65000560 130001120