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104114002520 = 23511376395209
BaseRepresentation
bin110000011110110101…
…1011001101001011000
3100221201212212022202102
41200331223121221120
53201211141040040
6115455044222532
710344020263643
oct1407553315130
9327655768672
10104114002520
1140177705090
121821769aa48
139a82c38268
1450795aca5a
152a954cd515
hex183dad9a58

104114002520 has 64 divisors (see below), whose sum is σ = 262459418400. Its totient is φ = 36836398080.

The previous prime is 104114002477. The next prime is 104114002529. The reversal of 104114002520 is 25200411401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104114002492 and 104114002501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104114002529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3181325 + ... + 3213884.

Almost surely, 2104114002520 is an apocalyptic number.

104114002520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104114002520 is an abundant number, since it is smaller than the sum of its proper divisors (158345415880).

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

104114002520 is a wasteful number, since it uses less digits than its factorization.

104114002520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395268 (or 6395264 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 104114002520 its reverse (25200411401), we get a palindrome (129314413921).

The spelling of 104114002520 in words is "one hundred four billion, one hundred fourteen million, two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 16280 6395209 12790418 25580836 31976045 51161672 63952090 70347299 127904180 140694598 236622733 255808360 281389196 351736495 473245466 562778392 703472990 946490932 1183113665 1406945980 1892981864 2366227330 2602850063 2813891960 4732454660 5205700126 9464909320 10411400252 13014250315 20822800504 26028500630 52057001260 104114002520