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10233431130 = 23513971571723
BaseRepresentation
bin10011000011111010…
…11100010001011010
3222102012000011102210
421201331130101122
5131424224244010
64411241535550
7511410505116
oct114175342132
928365004383
1010233431130
1143815612aa
121b971a45b6
13c7117b3c0
146d1168746
153ed61cb20
hex261f5c45a

10233431130 has 128 divisors (see below), whose sum is σ = 26907971328. Its totient is φ = 2475712512.

The previous prime is 10233431077. The next prime is 10233431161. The reversal of 10233431130 is 3113433201.

10233431130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102334311302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10233431097 and 10233431106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5938449 + ... + 5940171.

It is an arithmetic number, because the mean of its divisors is an integer number (210218526).

Almost surely, 210233431130 is an apocalyptic number.

10233431130 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 10233431130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453985664).

10233431130 is an abundant number, since it is smaller than the sum of its proper divisors (16674540198).

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

10233431130 is a wasteful number, since it uses less digits than its factorization.

10233431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10233431130 its reverse (3113433201), we get a palindrome (13346864331).

The spelling of 10233431130 in words is "ten billion, two hundred thirty-three million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 97 130 157 194 195 291 314 390 471 485 582 785 942 970 1261 1455 1570 1723 2041 2355 2522 2910 3446 3783 4082 4710 5169 6123 6305 7566 8615 10205 10338 12246 12610 15229 17230 18915 20410 22399 25845 30458 30615 37830 44798 45687 51690 61230 67197 76145 91374 111995 134394 152290 167131 197977 223990 228435 270511 334262 335985 395954 456870 501393 541022 593931 671970 811533 835655 989885 1002786 1187862 1352555 1623066 1671310 1979770 2172703 2506965 2705110 2969655 3516643 4057665 4345406 5013930 5939310 6518109 7033286 8115330 10549929 10863515 13036218 17583215 21099858 21727030 26239567 32590545 35166430 52479134 52749645 65181090 78718701 105499290 131197835 157437402 262395670 341114371 393593505 682228742 787187010 1023343113 1705571855 2046686226 3411143710 5116715565 10233431130