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2050100325 = 3252713223449
BaseRepresentation
bin111101000110010…
…0000110001100101
312021212121212221200
41322030200301211
513144311202300
6535232433113
7101542364610
oct17214406145
95255555850
102050100325
11962256799
124926a8799
13268969320
141563bb177
15beeac200
hex7a320c65

2050100325 has 144 divisors (see below), whose sum is σ = 4549708800. Its totient is φ = 859299840.

The previous prime is 2050100321. The next prime is 2050100341. The reversal of 2050100325 is 5230010502.

It is a happy number.

It is not a de Polignac number, because 2050100325 - 22 = 2050100321 is a prime.

It is a super-2 number, since 2×20501003252 = 8405822685130211250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2050100298 and 2050100307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050100321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4565701 + ... + 4566149.

It is an arithmetic number, because the mean of its divisors is an integer number (31595200).

Almost surely, 22050100325 is an apocalyptic number.

2050100325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2050100325 is an abundant number, since it is smaller than the sum of its proper divisors (2499608475).

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

2050100325 is a wasteful number, since it uses less digits than its factorization.

2050100325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2050100325 is about 45278.0335814178. The cubic root of 2050100325 is about 1270.3548154048.

Adding to 2050100325 its reverse (5230010502), we get a palindrome (7280110827).

The spelling of 2050100325 in words is "two billion, fifty million, one hundred thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 223 225 273 315 325 449 455 525 585 669 819 975 1115 1347 1365 1561 1575 2007 2245 2275 2899 2925 3143 3345 4041 4095 4683 5575 5837 6735 6825 7805 8697 9429 10035 11225 14049 14495 15715 16725 17511 20205 20293 20475 23415 26091 28287 29185 33675 39025 40859 43485 47145 50175 52533 60879 70245 72475 78575 87555 100127 101025 101465 117075 122577 130455 141435 145925 182637 204295 217425 235725 262665 300381 304395 351225 367731 437775 500635 507325 612885 652275 700889 707175 901143 913185 1021475 1301651 1313325 1501905 1521975 1838655 2102667 2503175 3064425 3504445 3904953 4505715 4565925 6308001 6508255 7509525 9111557 9193275 10513335 11714859 17522225 19524765 22528575 27334671 31540005 32541275 45557785 52566675 58574295 82004013 97623825 136673355 157700025 227788925 292871475 410020065 683366775 2050100325