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13201512000 = 26353550063
BaseRepresentation
bin11000100101101111…
…10001011001000000
31021002000222021221220
430102313301121000
5204014041341000
610021550115040
7645101000115
oct142267613100
937060867856
1013201512000
115664a003a6
1226851aba80
131325068281
148d342290c
15523ea91a0
hex312df1640

13201512000 has 112 divisors (see below), whose sum is σ = 43591471872. Its totient is φ = 3520396800.

The previous prime is 13201511989. The next prime is 13201512029. The reversal of 13201512000 is 21510231.

It is a super-2 number, since 2×132015120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 251032 + ... + 299031.

Almost surely, 213201512000 is an apocalyptic number.

13201512000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201512000 is an abundant number, since it is smaller than the sum of its proper divisors (30389959872).

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

13201512000 is an equidigital number, since it uses as much as digits as its factorization.

13201512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550093 (or 550073 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The spelling of 13201512000 in words is "thirteen billion, two hundred one million, five hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 550063 1100126 1650189 2200252 2750315 3300378 4400504 5500630 6600756 8250945 8801008 11001260 13201512 13751575 16501890 17602016 22002520 26403024 27503150 33003780 35204032 41254725 44005040 52806048 55006300 66007560 68757875 82509450 88010080 105612096 110012600 132015120 137515750 165018900 176020160 206273625 220025200 264030240 275031500 330037800 412547250 440050400 528060480 550063000 660075600 825094500 880100800 1100126000 1320151200 1650189000 2200252000 2640302400 3300378000 4400504000 6600756000 13201512000