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1002225131300 = 225222344942831
BaseRepresentation
bin11101001010110010100…
…01011101111100100100
310112210220210101210210102
432211121101131330210
5112410024113200200
62044225454443232
7132260034025211
oct16453121357444
93483823353712
101002225131300
1135704aa5aa88
121422a3203518
1373681289093
1436717b86b08
151b10bc996d5
hexe95945df24

1002225131300 has 36 divisors (see below), whose sum is σ = 2184581177856. Its totient is φ = 399092330400.

The previous prime is 1002225131267. The next prime is 1002225131333. The reversal of 1002225131300 is 31315222001.

It is an interprime number because it is at equal distance from previous prime (1002225131267) and next prime (1002225131333).

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 11 ways as a sum of consecutive naturals, for example, 22449116 + ... + 22493715.

It is an arithmetic number, because the mean of its divisors is an integer number (60682810496).

Almost surely, 21002225131300 is an apocalyptic number.

1002225131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002225131300 is an abundant number, since it is smaller than the sum of its proper divisors (1182356046556).

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

1002225131300 is a wasteful number, since it uses less digits than its factorization.

1002225131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44943068 (or 44943061 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 1002225131300 in words is "one trillion, two billion, two hundred twenty-five million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223 446 892 1115 2230 4460 5575 11150 22300 44942831 89885662 179771324 224714155 449428310 898856620 1123570775 2247141550 4494283100 10022251313 20044502626 40089005252 50111256565 100222513130 200445026260 250556282825 501112565650 1002225131300