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1000200220992 = 26327235437933
BaseRepresentation
bin11101000111000001001…
…01000011000101000000
310112121200200011201001100
432203200211003011000
5112341402224032432
62043252521534400
7132155615413500
oct16434045030500
93477620151040
101000200220992
11356200a49995
12141a19044400
137341a8cc5bb
14365a4c85a00
151b03e11607c
hexe8e0943140

1000200220992 has 126 divisors (see below), whose sum is σ = 3334957654938. Its totient is φ = 285771483648.

The previous prime is 1000200220927. The next prime is 1000200220993. The reversal of 1000200220992 is 2990220020001.

It can be written as a sum of positive squares in only one way, i.e., 835864033536 + 164336187456 = 914256^2 + 405384^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000200220993) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17690743 + ... + 17747190.

Almost surely, 21000200220992 is an apocalyptic number.

1000200220992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000200220992 is an abundant number, since it is smaller than the sum of its proper divisors (2334757433946).

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

1000200220992 is a wasteful number, since it uses less digits than its factorization.

1000200220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35437965 (or 35437945 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1000200220992 its reverse (2990220020001), we get a palindrome (3990420240993).

The spelling of 1000200220992 in words is "one trillion, two hundred million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 35437933 70875866 106313799 141751732 212627598 248065531 283503464 318941397 425255196 496131062 567006928 637882794 744196593 850510392 992262124 1134013856 1275765588 1488393186 1701020784 1736458717 1984524248 2232589779 2268027712 2551531176 2976786372 3402041568 3472917434 3969048496 4465179558 5103062352 5209376151 5953572744 6804083136 6945834868 7938096992 8930359116 10206124704 10418752302 11907145488 13891669736 15628128453 15876193984 17860718232 20412249408 20837504604 23814290976 27783339472 31256256906 35721436464 41675009208 47628581952 55566678944 62512513812 71442872928 83350018416 111133357888 125025027624 142885745856 166700036832 250050055248 333400073664 500100110496 1000200220992