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3143203120100 = 2252293130182457
BaseRepresentation
bin101101101111010101100…
…000010110001111100100
3102010111011020012111221002
4231233111200112033210
5402444234444320400
610403544555212432
7443042334460001
oct55572540261744
912114136174832
103143203120100
11100203024440a
12429210447118
1319a530bb3924
14ac1bbac28a8
1556b6677ced5
hex2dbd58163e4

3143203120100 has 72 divisors (see below), whose sum is σ = 6849373440168. Its totient is φ = 1252011904000.

The previous prime is 3143203120087. The next prime is 3143203120117. The reversal of 3143203120100 is 10213023413.

It can be written as a sum of positive squares in 12 ways, for example, as 1260967293184 + 1882235826916 = 1122928^2 + 1371946^2 .

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

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, 38078072 + ... + 38160528.

It is an arithmetic number, because the mean of its divisors is an integer number (95130186669).

Almost surely, 23143203120100 is an apocalyptic number.

It is an amenable number.

3143203120100 is an abundant number, since it is smaller than the sum of its proper divisors (3706170320068).

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

3143203120100 is a wasteful number, since it uses less digits than its factorization.

3143203120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84065 (or 84058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3143203120100 its reverse (10213023413), we get a palindrome (3153416143513).

The spelling of 3143203120100 in words is "three trillion, one hundred forty-three billion, two hundred three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1301 1465 2602 2930 5204 5860 6505 7325 13010 14650 26020 29300 32525 65050 82457 130100 164914 329828 381193 412285 762386 824570 1524772 1649140 1905965 2061425 3811930 4122850 7623860 8245700 9529825 19059650 24159901 38119300 48319802 96639604 107276557 120799505 214553114 241599010 429106228 483198020 536382785 603997525 1072765570 1207995050 2145531140 2415990100 2681913925 5363827850 10727655700 31432031201 62864062402 125728124804 157160156005 314320312010 628640624020 785800780025 1571601560050 3143203120100