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1013211032200 = 235241124998929
BaseRepresentation
bin11101011111010000001…
…01010110101010001000
310120212021102022101200221
432233220011112222020
5113100024011012300
62053243540435424
7133126212446623
oct16575005265210
93525242271627
101013211032200
11360778238a24
1214444a3a8b74
13747122b8163
143707ac26dba
151b5514a131a
hexebe8156a88

1013211032200 has 96 divisors (see below), whose sum is σ = 2415128625000. Its totient is φ = 395078860800.

The previous prime is 1013211032191. The next prime is 1013211032203. The reversal of 1013211032200 is 22301123101.

It can be written as a sum of positive squares in 12 ways, for example, as 78396640036 + 934814392164 = 279994^2 + 966858^2 .

It is not an unprimeable number, because it can be changed into a prime (1013211032203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10192336 + ... + 10291264.

Almost surely, 21013211032200 is an apocalyptic number.

1013211032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013211032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207564312500).

1013211032200 is an abundant number, since it is smaller than the sum of its proper divisors (1401917592800).

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

1013211032200 is a wasteful number, since it uses less digits than its factorization.

1013211032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100235 (or 100226 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1013211032200 its reverse (22301123101), we get a palindrome (1035512155301).

Subtracting from 1013211032200 its reverse (22301123101), we obtain a palindrome (990909909099).

The spelling of 1013211032200 in words is "one trillion, thirteen billion, two hundred eleven million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1249 1640 2050 2498 4100 4996 6245 8200 9992 12490 24980 31225 49960 51209 62450 98929 102418 124900 197858 204836 249800 256045 395716 409672 494645 512090 791432 989290 1024180 1280225 1978580 2048360 2473225 2560450 3957160 4056089 4946450 5120900 8112178 9892900 10241800 16224356 19785800 20280445 32448712 40560890 81121780 101402225 123562321 162243560 202804450 247124642 405608900 494249284 617811605 811217800 988498568 1235623210 2471246420 3089058025 4942492840 5066055161 6178116050 10132110322 12356232100 20264220644 24712464200 25330275805 40528441288 50660551610 101321103220 126651379025 202642206440 253302758050 506605516100 1013211032200