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12315043403000 = 2353131180780233
BaseRepresentation
bin1011001100110101000111…
…0010011001010011111000
31121121022021112211011221122
42303031101302121103320
53103232202102344000
642105241451324412
72410506153524552
oct263152162312370
947538245734848
1012315043403000
113a18864a48468
12146a8a3150708
136b43c4052c90
143080a0a024d2
15165521119085
hexb3351c994f8

12315043403000 has 128 divisors (see below), whose sum is σ = 31036924638720. Its totient is φ = 4546651161600.

The previous prime is 12315043402979. The next prime is 12315043403009. The reversal of 12315043403000 is 30434051321.

12315043403000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315043403009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153450884 + ... + 153531116.

It is an arithmetic number, because the mean of its divisors is an integer number (242475973740).

Almost surely, 212315043403000 is an apocalyptic number.

12315043403000 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 12315043403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518462319360).

12315043403000 is an abundant number, since it is smaller than the sum of its proper divisors (18721881235720).

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

12315043403000 is a wasteful number, since it uses less digits than its factorization.

12315043403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92074 (or 92060 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 12315043403000 its reverse (30434051321), we get a palindrome (12345477454321).

The spelling of 12315043403000 in words is "twelve trillion, three hundred fifteen billion, forty-three million, four hundred three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 11807 13000 23614 47228 59035 80233 94456 118070 153491 160466 236140 295175 306982 320932 401165 472280 590350 613964 641864 767455 802330 1043029 1180700 1227928 1475875 1534910 1604660 2005825 2086058 2361400 2951750 3069820 3209320 3837275 4011650 4172116 5215145 5903500 6139640 7674550 8023300 8344232 10029125 10430290 11807000 15349100 16046600 19186375 20058250 20860580 26075725 30698200 38372750 40116500 41721160 52151450 76745500 80233000 104302900 130378625 153491000 208605800 260757250 521514500 947311031 1043029000 1894622062 3789244124 4736555155 7578488248 9473110310 12315043403 18946220620 23682775775 24630086806 37892441240 47365551550 49260173612 61575217015 94731103100 98520347224 118413878875 123150434030 189462206200 236827757750 246300868060 307876085075 473655515500 492601736120 615752170150 947311031000 1231504340300 1539380425375 2463008680600 3078760850750 6157521701500 12315043403000