Search a number
-
+
1002225131550 = 232527103313553
BaseRepresentation
bin11101001010110010100…
…01011110000000011110
310112210220210101211010200
432211121101132000132
5112410024113202200
62044225454444330
7132260034026016
oct16453121360036
93483823354120
101002225131550
1135704aa60195
121422a32036a6
1373681289226
1436717b86c46
151b10bc99800
hexe95945e01e

1002225131550 has 72 divisors (see below), whose sum is σ = 2693032527744. Its totient is φ = 267221556480.

The previous prime is 1002225131521. The next prime is 1002225131581. The reversal of 1002225131550 is 551315222001.

1002225131550 is a `hidden beast` number, since 10 + 0 + 2 + 22 + 51 + 31 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3039574 + ... + 3353126.

It is an arithmetic number, because the mean of its divisors is an integer number (37403229552).

Almost surely, 21002225131550 is an apocalyptic number.

1002225131550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002225131550 is an abundant number, since it is smaller than the sum of its proper divisors (1690807396194).

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

1002225131550 is a wasteful number, since it uses less digits than its factorization.

1002225131550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320674 (or 320666 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1002225131550 in words is "one trillion, two billion, two hundred twenty-five million, one hundred thirty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 7103 14206 21309 35515 42618 63927 71030 106545 127854 177575 213090 313553 319635 355150 532725 627106 639270 940659 1065450 1567765 1598175 1881318 2821977 3135530 3196350 4703295 5643954 7838825 9406590 14109885 15677650 23516475 28219770 47032950 70549425 141098850 2227166959 4454333918 6681500877 11135834795 13363001754 20044502631 22271669590 33407504385 40089005262 55679173975 66815008770 100222513155 111358347950 167037521925 200445026310 334075043850 501112565775 1002225131550