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2332313130 = 2357173717657
BaseRepresentation
bin1000101100000100…
…0100011000101010
320000112122210010210
42023001010120222
514234033010010
61023233321550
7111540222510
oct21301043052
96015583123
102332313130
11a97591414
125511062b6
132b2279c54
14181a804b0
15d9b55b20
hex8b04462a

2332313130 has 128 divisors (see below), whose sum is σ = 6956969472. Its totient is φ = 488153088.

The previous prime is 2332313111. The next prime is 2332313161. The reversal of 2332313130 is 313132332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2332313097 and 2332313106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123262 + ... + 140918.

It is an arithmetic number, because the mean of its divisors is an integer number (54351324).

Almost surely, 22332313130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478484736).

2332313130 is an abundant number, since it is smaller than the sum of its proper divisors (4624656342).

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

2332313130 is a wasteful number, since it uses less digits than its factorization.

2332313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17728.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 2332313130 is about 48294.0278916555. The cubic root of 2332313130 is about 1326.1590674317.

Adding to 2332313130 its reverse (313132332), we get a palindrome (2645445462).

The spelling of 2332313130 in words is "two billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 37 42 51 70 74 85 102 105 111 119 170 185 210 222 238 255 259 357 370 510 518 555 595 629 714 777 1110 1190 1258 1295 1554 1785 1887 2590 3145 3570 3774 3885 4403 6290 7770 8806 9435 13209 17657 18870 22015 26418 35314 44030 52971 66045 88285 105942 123599 132090 176570 247198 264855 300169 370797 529710 600338 617995 653309 741594 900507 1235990 1306618 1500845 1801014 1853985 1959927 2101183 3001690 3266545 3707970 3919854 4202366 4502535 4573163 6303549 6533090 9005070 9146326 9799635 10505915 11106253 12607098 13719489 19599270 21011830 22212506 22865815 27438978 31517745 33318759 45731630 55531265 63035490 66637518 68597445 77743771 111062530 137194890 155487542 166593795 233231313 333187590 388718855 466462626 777437710 1166156565 2332313130