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10132344200 = 23521135912829
BaseRepresentation
bin10010110111110111…
…10100110110001000
3222011010210102020102
421123323310312020
5131222340003300
64353231144532
7506042335046
oct113373646610
928133712212
1010132344200
11432a498190
121b69375148
13c56246c54
146c1973396
153e48010d5
hex25bef4d88

10132344200 has 96 divisors (see below), whose sum is σ = 25772904000. Its totient is φ = 3673939200.

The previous prime is 10132344193. The next prime is 10132344239. The reversal of 10132344200 is 244323101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 783386 + ... + 796214.

It is an arithmetic number, because the mean of its divisors is an integer number (268467750).

Almost surely, 210132344200 is an apocalyptic number.

10132344200 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 10132344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886452000).

10132344200 is an abundant number, since it is smaller than the sum of its proper divisors (15640559800).

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

10132344200 is a wasteful number, since it uses less digits than its factorization.

10132344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215 (or 13206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10132344200 its reverse (244323101), we get a palindrome (10376667301).

The spelling of 10132344200 in words is "ten billion, one hundred thirty-two million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 359 440 550 718 1100 1436 1795 2200 2872 3590 3949 7180 7898 8975 12829 14360 15796 17950 19745 25658 31592 35900 39490 51316 64145 71800 78980 98725 102632 128290 141119 157960 197450 256580 282238 320725 394900 513160 564476 641450 705595 789800 1128952 1282900 1411190 2565800 2822380 3527975 4605611 5644760 7055950 9211222 14111900 18422444 23028055 28223800 36844888 46056110 50661721 92112220 101323442 115140275 184224440 202646884 230280550 253308605 405293768 460561100 506617210 921122200 1013234420 1266543025 2026468840 2533086050 5066172100 10132344200