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10202113230 = 2353741373601
BaseRepresentation
bin10011000000001011…
…11110010011001110
3222100000002001100120
421200011332103032
5131343220110410
64404202405410
7510550350231
oct114005762316
928300061316
1010202113230
114365910741
121b88800866
13c678345ba
146cad35418
153ea9d3570
hex26017e4ce

10202113230 has 128 divisors (see below), whose sum is σ = 25872206976. Its totient is φ = 2571264000.

The previous prime is 10202113183. The next prime is 10202113231. The reversal of 10202113230 is 3231120201.

It is a super-2 number, since 2×102021132302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202113231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16974930 + ... + 16975530.

It is an arithmetic number, because the mean of its divisors is an integer number (202126617).

Almost surely, 210202113230 is an apocalyptic number.

10202113230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936103488).

10202113230 is an abundant number, since it is smaller than the sum of its proper divisors (15670093746).

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

10202113230 is a wasteful number, since it uses less digits than its factorization.

10202113230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10202113230 its reverse (3231120201), we get a palindrome (13433233431).

The spelling of 10202113230 in words is "ten billion, two hundred two million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 41 74 82 111 123 185 205 222 246 370 373 410 555 601 615 746 1110 1119 1202 1230 1517 1803 1865 2238 3005 3034 3606 3730 4551 5595 6010 7585 9015 9102 11190 13801 15170 15293 18030 22237 22755 24641 27602 30586 41403 44474 45510 45879 49282 66711 69005 73923 76465 82806 91758 111185 123205 133422 138010 147846 152930 207015 222370 224173 229395 246410 333555 369615 414030 448346 458790 565841 667110 672519 739230 911717 1120865 1131682 1345038 1697523 1823434 2241730 2735151 2829205 3362595 3395046 4558585 5470302 5658410 6725190 8294401 8487615 9117170 9191093 13675755 16588802 16975230 18382186 24883203 27351510 27573279 41472005 45955465 49766406 55146558 82944010 91910930 124416015 137866395 248832030 275732790 340070441 680140882 1020211323 1700352205 2040422646 3400704410 5101056615 10202113230