Search a number
-
+
2032320312320 = 21051093641629
BaseRepresentation
bin11101100100101111101…
…110101111010000000000
321012021202220012211110112
4131210233232233100000
5231244142444443240
64153345101250452
7266554535424614
oct35445756572000
97167686184415
102032320312320
117139a1919901
12289a63b63a28
13119854563c2c
1470517133344
1537cea68b665
hex1d92fbaf400

2032320312320 has 88 divisors (see below), whose sum is σ = 4919914962600. Its totient is φ = 805469847552.

The previous prime is 2032320312289. The next prime is 2032320312329. The reversal of 2032320312320 is 232130232302.

It can be written as a sum of positive squares in 4 ways, for example, as 912651587584 + 1119668724736 = 955328^2 + 1058144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032320312329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262735 + ... + 2378894.

It is an arithmetic number, because the mean of its divisors is an integer number (55908124575).

Almost surely, 22032320312320 is an apocalyptic number.

2032320312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032320312320 is an abundant number, since it is smaller than the sum of its proper divisors (2887594650280).

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

2032320312320 is a wasteful number, since it uses less digits than its factorization.

2032320312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641763 (or 3641745 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2032320312320 its reverse (232130232302), we get a palindrome (2264450544622).

The spelling of 2032320312320 in words is "two trillion, thirty-two billion, three hundred twenty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 512 545 640 872 1024 1090 1280 1744 2180 2560 3488 4360 5120 6976 8720 13952 17440 27904 34880 55808 69760 111616 139520 279040 558080 3641629 7283258 14566516 18208145 29133032 36416290 58266064 72832580 116532128 145665160 233064256 291330320 396937561 466128512 582660640 793875122 932257024 1165321280 1587750244 1864514048 1984687805 2330642560 3175500488 3729028096 3969375610 4661285120 6351000976 7938751220 9322570240 12702001952 15877502440 18645140480 25404003904 31755004880 50808007808 63510009760 101616015616 127020019520 203232031232 254040039040 406464062464 508080078080 1016160156160 2032320312320