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1021132220200 = 235216093173189
BaseRepresentation
bin11101101110000000011…
…10010010011100101000
310121121201110102102212021
432313000032102130220
5113212234322021300
62101033543154224
7133526415442321
oct16670016223450
93547643372767
101021132220200
11364072576794
12145a9b145974
13753a53c5851
14375ccc57448
151b866aced1a
hexedc0392728

1021132220200 has 48 divisors (see below), whose sum is σ = 2375608693500. Its totient is φ = 408198904320.

The previous prime is 1021132220191. The next prime is 1021132220257. The reversal of 1021132220200 is 20222311201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 852028686916 + 169103533284 = 923054^2 + 411222^2 .

It is a super-2 number, since 2×10211322202002 (a number of 25 digits) contains 22 as substring.

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, 1264795 + ... + 1908394.

Almost surely, 21021132220200 is an apocalyptic number.

1021132220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021132220200 is an abundant number, since it is smaller than the sum of its proper divisors (1354476473300).

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

1021132220200 is a wasteful number, since it uses less digits than its factorization.

1021132220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174814 (or 3174805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1021132220200 its reverse (20222311201), we get a palindrome (1041354531401).

The spelling of 1021132220200 in words is "one trillion, twenty-one billion, one hundred thirty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1609 3218 6436 8045 12872 16090 32180 40225 64360 80450 160900 321800 3173189 6346378 12692756 15865945 25385512 31731890 63463780 79329725 126927560 158659450 317318900 634637800 5105661101 10211322202 20422644404 25528305505 40845288808 51056611010 102113222020 127641527525 204226444040 255283055050 510566110100 1021132220200