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1002225326652 = 2232116263404099
BaseRepresentation
bin11101001010110010100…
…10001101101000111100
310112210220210202201202200
432211121102031220330
5112410024140423102
62044225502551500
7132260035500564
oct16453122155074
93483823681680
101002225326652
11357050083830
121422a3298590
1373681326c84
1436717bd7da4
151b10bcd751c
hexe95948da3c

1002225326652 has 72 divisors (see below), whose sum is σ = 2764160380800. Its totient is φ = 303655401120.

The previous prime is 1002225326633. The next prime is 1002225326671. The reversal of 1002225326652 is 2566235222001.

1002225326652 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 2 + 532 + 66 + 52 = 666.

1002225326652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002225326633) and next prime (1002225326671).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2278099 + ... + 2682197.

It is an arithmetic number, because the mean of its divisors is an integer number (38391116400).

Almost surely, 21002225326652 is an apocalyptic number.

1002225326652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002225326652 is an abundant number, since it is smaller than the sum of its proper divisors (1761935054148).

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

1002225326652 is a wasteful number, since it uses less digits than its factorization.

1002225326652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410383 (or 410378 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1002225326652 in words is "one trillion, two billion, two hundred twenty-five million, three hundred twenty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 6263 12526 18789 25052 37578 56367 68893 75156 112734 137786 206679 225468 275572 404099 413358 620037 808198 826716 1212297 1240074 1616396 2424594 2480148 3636891 4445089 4849188 7273782 8890178 13335267 14547564 17780356 26670534 40005801 53341068 80011602 160023204 2530872037 5061744074 7592616111 10123488148 15185232222 22777848333 27839592407 30370464444 45555696666 55679184814 83518777221 91111393332 111358369628 167037554442 250556331663 334075108884 501112663326 1002225326652