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13103978040 = 2333523950767
BaseRepresentation
bin11000011010000111…
…01101011000111000
31020211020110001112000
430031003231120320
5203314104244130
610004143421000
7642504655416
oct141503553070
936736401460
1013103978040
11561494371a
1226585b4760
13130aaa907a
148c44b42b6
1551a640260
hex30d0ed638

13103978040 has 128 divisors (see below), whose sum is σ = 43863552000. Its totient is φ = 3479704704.

The previous prime is 13103977993. The next prime is 13103978051. The reversal of 13103978040 is 4087930131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13103977986 and 13103978004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232737 + ... + 283503.

It is an arithmetic number, because the mean of its divisors is an integer number (342684000).

Almost surely, 213103978040 is an apocalyptic number.

13103978040 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 13103978040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21931776000).

13103978040 is an abundant number, since it is smaller than the sum of its proper divisors (30759573960).

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

13103978040 is a wasteful number, since it uses less digits than its factorization.

13103978040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51026 (or 51016 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13103978040 in words is "thirteen billion, one hundred three million, nine hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 239 270 360 478 540 717 956 1080 1195 1434 1912 2151 2390 2868 3585 4302 4780 5736 6453 7170 8604 9560 10755 12906 14340 17208 21510 25812 28680 32265 43020 50767 51624 64530 86040 101534 129060 152301 203068 253835 258120 304602 406136 456903 507670 609204 761505 913806 1015340 1218408 1370709 1523010 1827612 2030680 2284515 2741418 3046020 3655224 4569030 5482836 6092040 6853545 9138060 10965672 12133313 13707090 18276120 24266626 27414180 36399939 48533252 54828360 60666565 72799878 97066504 109199817 121333130 145599756 181999695 218399634 242666260 291199512 327599451 363999390 436799268 485332520 545999085 655198902 727998780 873598536 1091998170 1310397804 1455997560 1637997255 2183996340 2620795608 3275994510 4367992680 6551989020 13103978040