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2313322231320 = 233451217586679
BaseRepresentation
bin100001101010011100101…
…111111111011000011000
322012011002101220100110000
4201222130233333120120
5300400140442400240
64530420415453000
7326063165346102
oct41523457773030
98164071810400
102313322231320
11812090100711
12314406b27160
1313a1b7447699
147dd7307a572
154029503e430
hex21a9cbff618

2313322231320 has 160 divisors (see below), whose sum is σ = 7781735253600. Its totient is φ = 616377987072.

The previous prime is 2313322231237. The next prime is 2313322231357. The reversal of 2313322231320 is 231322233132.

2313322231320 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 322 + 2 + 313 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3649741 + ... + 4236419.

It is an arithmetic number, because the mean of its divisors is an integer number (48635845335).

Almost surely, 22313322231320 is an apocalyptic number.

2313322231320 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 2313322231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890867626800).

2313322231320 is an abundant number, since it is smaller than the sum of its proper divisors (5468413022280).

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

2313322231320 is a wasteful number, since it uses less digits than its factorization.

2313322231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587919 (or 587906 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2313322231320 its reverse (231322233132), we get a palindrome (2544644464452).

The spelling of 2313322231320 in words is "two trillion, three hundred thirteen billion, three hundred twenty-two million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1217 1620 2434 3240 3651 4868 6085 7302 9736 10953 12170 14604 18255 21906 24340 29208 32859 36510 43812 48680 54765 65718 73020 87624 98577 109530 131436 146040 164295 197154 219060 262872 328590 394308 438120 492885 586679 657180 788616 985770 1173358 1314360 1760037 1971540 2346716 2933395 3520074 3943080 4693432 5280111 5866790 7040148 8800185 10560222 11733580 14080296 15840333 17600370 21120444 23467160 26400555 31680666 35200740 42240888 47520999 52801110 63361332 70401480 79201665 95041998 105602220 126722664 158403330 190083996 211204440 237604995 316806660 380167992 475209990 633613320 713988343 950419980 1427976686 1900839960 2141965029 2855953372 3569941715 4283930058 5711906744 6425895087 7139883430 8567860116 10709825145 12851790174 14279766860 17135720232 19277685261 21419650290 25703580348 28559533720 32129475435 38555370522 42839300580 51407160696 57833055783 64258950870 77110741044 85678601160 96388426305 115666111566 128517901740 154221482088 192776852610 231332223132 257035803480 289165278915 385553705220 462664446264 578330557830 771107410440 1156661115660 2313322231320