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10512445400 = 2352193378209
BaseRepresentation
bin10011100101001011…
…10010111111011000
31000010122000120001122
421302211302333120
5133012141223100
64455050104412
7521336211602
oct116245627730
930118016048
1010512445400
114505001906
12205471b108
13cb6c0c1c2
1471a238172
15417d83985
hex272972fd8

10512445400 has 96 divisors (see below), whose sum is σ = 25807314000. Its totient is φ = 3971358720.

The previous prime is 10512445319. The next prime is 10512445403. The reversal of 10512445400 is 454421501.

It is a super-2 number, since 2×105124454002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10512445400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10512445403) 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, 1276496 + ... + 1284704.

Almost surely, 210512445400 is an apocalyptic number.

10512445400 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 10512445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903657000).

10512445400 is an abundant number, since it is smaller than the sum of its proper divisors (15294868600).

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

10512445400 is a wasteful number, since it uses less digits than its factorization.

10512445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8581 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 10512445400 its reverse (454421501), we get a palindrome (10966866901).

The spelling of 10512445400 in words is "ten billion, five hundred twelve million, four hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 337 380 475 674 760 950 1348 1685 1900 2696 3370 3800 6403 6740 8209 8425 12806 13480 16418 16850 25612 32015 32836 33700 41045 51224 64030 65672 67400 82090 128060 155971 160075 164180 205225 256120 311942 320150 328360 410450 623884 640300 779855 820900 1247768 1280600 1559710 1641800 2766433 3119420 3899275 5532866 6238840 7798550 11065732 13832165 15597100 22131464 27664330 31194200 52562227 55328660 69160825 105124454 110657320 138321650 210248908 262811135 276643300 420497816 525622270 553286600 1051244540 1314055675 2102489080 2628111350 5256222700 10512445400