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10252001300 = 22521722327043
BaseRepresentation
bin10011000110001000…
…10010000000010100
3222110110221121220212
421203010102000110
5131444003020200
64413143544552
7512024400422
oct114304220024
928413847825
1010252001300
114390a95352
121ba145b158
13c74c80a78
146d3800112
1540008a035
hex263112014

10252001300 has 72 divisors (see below), whose sum is σ = 23661985536. Its totient is φ = 3842127360.

The previous prime is 10252001297. The next prime is 10252001303. The reversal of 10252001300 is 310025201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10252001297) and next prime (10252001303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252001303) 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, 365579 + ... + 392621.

It is an arithmetic number, because the mean of its divisors is an integer number (328638688).

Almost surely, 210252001300 is an apocalyptic number.

10252001300 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 10252001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11830992768).

10252001300 is an abundant number, since it is smaller than the sum of its proper divisors (13409984236).

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

10252001300 is a wasteful number, since it uses less digits than its factorization.

10252001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27297 (or 27290 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 10252001300 its reverse (310025201), we get a palindrome (10562026501).

The spelling of 10252001300 in words is "ten billion, two hundred fifty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 223 340 425 446 850 892 1115 1700 2230 3791 4460 5575 7582 11150 15164 18955 22300 27043 37910 54086 75820 94775 108172 135215 189550 270430 379100 459731 540860 676075 919462 1352150 1838924 2298655 2704300 4597310 6030589 9194620 11493275 12061178 22986550 24122356 30152945 45973100 60305890 102520013 120611780 150764725 205040026 301529450 410080052 512600065 603058900 1025200130 2050400260 2563000325 5126000650 10252001300