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10114130010 = 2356116993253
BaseRepresentation
bin10010110101101100…
…10110000001011010
3222002212112001001210
421122312112001122
5131203204130020
64351340523550
7505431454335
oct113266260132
928085461053
1010114130010
114320187636
121b632505b6
13c5253a61a
146bd39161c
153e2e043e0
hex25ad9605a

10114130010 has 64 divisors (see below), whose sum is σ = 24693955200. Its totient is φ = 2650510080.

The previous prime is 10114130003. The next prime is 10114130017. The reversal of 10114130010 is 1003141101.

It is an interprime number because it is at equal distance from previous prime (10114130003) and next prime (10114130017).

It is not an unprimeable number, because it can be changed into a prime (10114130017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3107544 + ... + 3110796.

It is an arithmetic number, because the mean of its divisors is an integer number (385843050).

Almost surely, 210114130010 is an apocalyptic number.

10114130010 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 10114130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346977600).

10114130010 is an abundant number, since it is smaller than the sum of its proper divisors (14579825190).

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

10114130010 is a wasteful number, since it uses less digits than its factorization.

10114130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10114130010 its reverse (1003141101), we get a palindrome (11117271111).

The spelling of 10114130010 in words is "ten billion, one hundred fourteen million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1699 1830 3253 3398 5097 6506 8495 9759 10194 16265 16990 19518 25485 32530 48795 50970 97590 103639 198433 207278 310917 396866 518195 595299 621834 992165 1036390 1190598 1554585 1984330 2976495 3109170 5526847 5952990 11053694 16580541 27634235 33161082 55268470 82902705 165805410 337137667 674275334 1011413001 1685688335 2022826002 3371376670 5057065005 10114130010