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100325000200 = 235217233126641
BaseRepresentation
bin101110101101111010…
…1100000010000001000
3100120221211012001201011
41131123311200100020
53120431200001300
6114031052533304
710151101300645
oct1353365402010
9316854161634
10100325000200
1139602935607
121753a781234
1395cac51859
144bda2a0dcc
152922a35eba
hex175bd60408

100325000200 has 96 divisors (see below), whose sum is σ = 248038488360. Its totient is φ = 37607014400.

The previous prime is 100325000197. The next prime is 100325000207. The reversal of 100325000200 is 2000523001.

It can be written as a sum of positive squares in 12 ways, for example, as 733001476 + 99591998724 = 27074^2 + 315582^2 .

It is not an unprimeable number, because it can be changed into a prime (100325000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728880 + ... + 855520.

Almost surely, 2100325000200 is an apocalyptic number.

100325000200 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 100325000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124019244180).

100325000200 is an abundant number, since it is smaller than the sum of its proper divisors (147713488160).

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

100325000200 is a wasteful number, since it uses less digits than its factorization.

100325000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126907 (or 126898 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 100325000200 its reverse (2000523001), we get a palindrome (102325523201).

The spelling of 100325000200 in words is "one hundred billion, three hundred twenty-five million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 233 340 425 466 680 850 932 1165 1700 1864 2330 3400 3961 4660 5825 7922 9320 11650 15844 19805 23300 31688 39610 46600 79220 99025 126641 158440 198050 253282 396100 506564 633205 792200 1013128 1266410 2152897 2532820 3166025 4305794 5065640 6332050 8611588 10764485 12664100 17223176 21528970 25328200 29507353 43057940 53822425 59014706 86115880 107644850 118029412 147536765 215289700 236058824 295073530 430579400 501625001 590147060 737683825 1003250002 1180294120 1475367650 2006500004 2508125005 2950735300 4013000008 5016250010 5901470600 10032500020 12540625025 20065000040 25081250050 50162500100 100325000200