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2313111000320 = 28517791345583
BaseRepresentation
bin100001101010010000001…
…010001101010100000000
322012010112200102200222122
4201222100022031110000
5300344222404002240
64530343432223412
7326055022044221
oct41522012152400
98163480380878
102313111000320
11811a9194773a
1231436823ab68
1313a18275a423
147dd52db3248
15402817174b5
hex21a9028d500

2313111000320 has 144 divisors (see below), whose sum is σ = 5940807183360. Its totient is φ = 859794604032.

The previous prime is 2313111000301. The next prime is 2313111000331. The reversal of 2313111000320 is 230001113132.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046249 + ... + 2391831.

It is an arithmetic number, because the mean of its divisors is an integer number (41255605440).

Almost surely, 22313111000320 is an apocalyptic number.

2313111000320 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 2313111000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970403591680).

2313111000320 is an abundant number, since it is smaller than the sum of its proper divisors (3627696183040).

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

2313111000320 is a wasteful number, since it uses less digits than its factorization.

2313111000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345700 (or 1345686 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2313111000320 its reverse (230001113132), we get a palindrome (2543112113452).

The spelling of 2313111000320 in words is "two trillion, three hundred thirteen billion, one hundred eleven million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 79 80 85 128 136 158 160 170 256 272 316 320 340 395 544 632 640 680 790 1088 1264 1280 1343 1360 1580 2176 2528 2686 2720 3160 4352 5056 5372 5440 6320 6715 10112 10744 10880 12640 13430 20224 21488 21760 25280 26860 42976 50560 53720 85952 101120 107440 171904 214880 343808 429760 859520 1345583 1719040 2691166 5382332 6727915 10764664 13455830 21529328 22874911 26911660 43058656 45749822 53823320 86117312 91499644 106301057 107646640 114374555 172234624 182999288 212602114 215293280 228749110 344469248 365998576 425204228 430586560 457498220 531505285 731997152 850408456 861173120 914996440 1063010570 1463994304 1700816912 1722346240 1807117969 1829992880 2126021140 2927988608 3401633824 3614235938 3659985760 4252042280 5855977216 6803267648 7228471876 7319971520 8504084560 9035589845 13606535296 14456943752 14639943040 17008169120 18071179690 27213070592 28913887504 29279886080 34016338240 36142359380 57827775008 68032676480 72284718760 115655550016 136065352960 144569437520 231311100032 289138875040 462622200064 578277750080 1156555500160 2313111000320