Search a number
-
+
10023422340 = 22351032336961
BaseRepresentation
bin10010101010111000…
…10100100110000100
3221212112211121112110
421111130110212010
5131011444003330
64334340421020
7503250453441
oct112534244604
927775747473
1010023422340
114283a62618
121b389a7770
13c397cb549
146b12dc9c8
153d9e87db0
hex255714984

10023422340 has 96 divisors (see below), whose sum is σ = 28463774976. Its totient is φ = 2635223040.

The previous prime is 10023422329. The next prime is 10023422351. The reversal of 10023422340 is 4322432001.

It is an interprime number because it is at equal distance from previous prime (10023422329) and next prime (10023422351).

It is a super-2 number, since 2×100234223402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436460 + ... + 1443420.

It is an arithmetic number, because the mean of its divisors is an integer number (296497656).

Almost surely, 210023422340 is an apocalyptic number.

10023422340 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 10023422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231887488).

10023422340 is an abundant number, since it is smaller than the sum of its proper divisors (18440352636).

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

10023422340 is a wasteful number, since it uses less digits than its factorization.

10023422340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10023422340 its reverse (4322432001), we get a palindrome (14345854341).

The spelling of 10023422340 in words is "ten billion, twenty-three million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 233 309 412 466 515 618 699 932 1030 1165 1236 1398 1545 2060 2330 2796 3090 3495 4660 6180 6961 6990 13922 13980 20883 23999 27844 34805 41766 47998 69610 71997 83532 95996 104415 119995 139220 143994 208830 239990 287988 359985 417660 479980 716983 719970 1433966 1439940 1621913 2150949 2867932 3243826 3584915 4301898 4865739 6487652 7169830 8109565 8603796 9731478 10754745 14339660 16219130 19462956 21509490 24328695 32438260 43018980 48657390 97314780 167057039 334114078 501171117 668228156 835285195 1002342234 1670570390 2004684468 2505855585 3341140780 5011711170 10023422340