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130201104 = 24311832971
BaseRepresentation
bin1111100001010…
…11011000010000
3100001222220100010
413300223120100
5231312413404
620530354520
73140456025
oct760533020
9301886303
10130201104
116754a020
123772ba40
1320c89197
141341354c
15b66d189
hex7c2b610

130201104 has 80 divisors (see below), whose sum is σ = 371476224. Its totient is φ = 38966400.

The previous prime is 130201073. The next prime is 130201151. The reversal of 130201104 is 401102031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 130201104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42339 + ... + 45309.

Almost surely, 2130201104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185738112).

130201104 is an abundant number, since it is smaller than the sum of its proper divisors (241275120).

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

130201104 is a wasteful number, since it uses less digits than its factorization.

130201104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130201104 is about 11410.5698367785. The cubic root of 130201104 is about 506.8407858008.

Adding to 130201104 its reverse (401102031), we get a palindrome (531303135).

It can be divided in two parts, 130201 and 104, that added together give a triangular number (130305 = T510).

The spelling of 130201104 in words is "one hundred thirty million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 528 664 913 996 1328 1826 1992 2739 2971 3652 3984 5478 5942 7304 8913 10956 11884 14608 17826 21912 23768 32681 35652 43824 47536 65362 71304 98043 130724 142608 196086 246593 261448 392172 493186 522896 739779 784344 986372 1479558 1568688 1972744 2712523 2959116 3945488 5425046 5918232 8137569 10850092 11836464 16275138 21700184 32550276 43400368 65100552 130201104