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23311020320 = 2557131158881
BaseRepresentation
bin10101101101011100…
…011111000100100000
32020011120210112020222
4111231130133010200
5340220110122240
614413044022212
71453445255240
oct255534370440
966146715228
1023311020320
119982510655
124626991968
132276648063
1411b1d2db20
15916798eb5
hex56d71f120

23311020320 has 96 divisors (see below), whose sum is σ = 63420610176. Its totient is φ = 7931289600.

The previous prime is 23311020277. The next prime is 23311020391. The reversal of 23311020320 is 2302011332.

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 15 ways as a sum of consecutive naturals, for example, 67280 + ... + 226160.

It is an arithmetic number, because the mean of its divisors is an integer number (660631356).

Almost surely, 223311020320 is an apocalyptic number.

23311020320 is a gapful number since it is divisible by the number (20) 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 23311020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31710305088).

23311020320 is an abundant number, since it is smaller than the sum of its proper divisors (40109589856).

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

23311020320 is a wasteful number, since it uses less digits than its factorization.

23311020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159034 (or 159026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23311020320 its reverse (2302011332), we get a palindrome (25613031652).

The spelling of 23311020320 in words is "twenty-three billion, three hundred eleven million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 131 140 160 224 262 280 524 560 655 917 1048 1120 1310 1834 2096 2620 3668 4192 4585 5240 7336 9170 10480 14672 18340 20960 29344 36680 73360 146720 158881 317762 635524 794405 1112167 1271048 1588810 2224334 2542096 3177620 4448668 5084192 5560835 6355240 8897336 11121670 12710480 17794672 20813411 22243340 25420960 35589344 41626822 44486680 83253644 88973360 104067055 145693877 166507288 177946720 208134110 291387754 333014576 416268220 582775508 666029152 728469385 832536440 1165551016 1456938770 1665072880 2331102032 2913877540 3330145760 4662204064 5827755080 11655510160 23311020320