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10130323100 = 22521947911131
BaseRepresentation
bin10010110111101000…
…00111011010011100
3222010222222201210212
421123310013122130
5131221330314400
64353115551552
7506016216452
oct113364073234
928128881725
1010130323100
114329337757
121b6875b5b8
13c559ba031
146c15a89d2
153e4552335
hex25bd0769c

10130323100 has 72 divisors (see below), whose sum is σ = 23190182400. Its totient is φ = 3830500800.

The previous prime is 10130323061. The next prime is 10130323109. The reversal of 10130323100 is 132303101.

It is a super-2 number, since 2×101303231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130323109) 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, 904535 + ... + 915665.

Almost surely, 210130323100 is an apocalyptic number.

10130323100 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 10130323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595091200).

10130323100 is an abundant number, since it is smaller than the sum of its proper divisors (13059859300).

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

10130323100 is a wasteful number, since it uses less digits than its factorization.

10130323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11643 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10130323100 its reverse (132303101), we get a palindrome (10262626201).

The spelling of 10130323100 in words is "ten billion, one hundred thirty million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 479 950 958 1900 1916 2395 4790 9101 9580 11131 11975 18202 22262 23950 36404 44524 45505 47900 55655 91010 111310 182020 211489 222620 227525 278275 422978 455050 556550 845956 910100 1057445 1113100 2114890 4229780 5287225 5331749 10574450 10663498 21148900 21326996 26658745 53317490 101303231 106634980 133293725 202606462 266587450 405212924 506516155 533174900 1013032310 2026064620 2532580775 5065161550 10130323100