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130104004100 = 22527473954529
BaseRepresentation
bin111100100101011001…
…1011000111000000100
3110102211011122012102112
41321022303120320010
54112423111112400
6135434032200152
712254045534210
oct1711263307004
9412734565375
10130104004100
11501a4355a34
122126b699058
13c3655baa15
14642321d940
1535b7059835
hex1e4acd8e04

130104004100 has 72 divisors (see below), whose sum is σ = 329523075840. Its totient is φ = 43657989120.

The previous prime is 130104004091. The next prime is 130104004103. The reversal of 130104004100 is 1400401031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (130104004103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944365 + ... + 2010164.

Almost surely, 2130104004100 is an apocalyptic number.

130104004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130104004100 is an abundant number, since it is smaller than the sum of its proper divisors (199419071740).

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

130104004100 is a wasteful number, since it uses less digits than its factorization.

130104004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954597 (or 3954590 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 130104004100 its reverse (1400401031), we get a palindrome (131504405131).

The spelling of 130104004100 in words is "one hundred thirty billion, one hundred four million, four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1645 2350 3290 4700 6580 8225 16450 32900 3954529 7909058 15818116 19772645 27681703 39545290 55363406 79090580 98863225 110726812 138408515 185862863 197726450 276817030 371725726 395452900 553634060 692042575 743451452 929314315 1301040041 1384085150 1858628630 2602080082 2768170300 3717257260 4646571575 5204160164 6505200205 9293143150 13010400410 18586286300 26020800820 32526001025 65052002050 130104004100