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13103604000 = 253253363989
BaseRepresentation
bin11000011010000100…
…10010000100100000
31020211012202001102200
430031002102010200
5203314010312000
610004131413200
7642501540054
oct141502220440
936735661380
1013103604000
1156147086a3
122658454200
13130a9a7a46
148c4417c64
1551a5b9500
hex30d092120

13103604000 has 144 divisors (see below), whose sum is σ = 46504818360. Its totient is φ = 3494284800.

The previous prime is 13103603969. The next prime is 13103604043. The reversal of 13103604000 is 40630131.

It can be written as a sum of positive squares in 4 ways, for example, as 3128388624 + 9975215376 = 55932^2 + 99876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145995 + ... + 217994.

Almost surely, 213103604000 is an apocalyptic number.

13103604000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103604000 is an abundant number, since it is smaller than the sum of its proper divisors (33401214360).

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

13103604000 is a wasteful number, since it uses less digits than its factorization.

13103604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364020 (or 363999 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 13103604000 in words is "thirteen billion, one hundred three million, six hundred four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 363989 727978 1091967 1455956 1819945 2183934 2911912 3275901 3639890 4367868 5459835 5823824 6551802 7279780 8735736 9099725 10919670 11647648 13103604 14559560 16379505 17471472 18199450 21839340 26207208 27299175 29119120 32759010 34942944 36398900 43678680 45498625 52414416 54598350 58238240 65518020 72797800 81897525 87357360 90997250 104828832 109196700 131036040 136495875 145595600 163795050 174714720 181994500 218393400 262072080 272991750 291191200 327590100 363989000 409487625 436786800 524144160 545983500 655180200 727978000 818975250 873573600 1091967000 1310360400 1455956000 1637950500 2183934000 2620720800 3275901000 4367868000 6551802000 13103604000