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2313022145000 = 23547175337699
BaseRepresentation
bin100001101010001010110…
…111010000000111101000
322012010022111020101101212
4201222022313100013220
5300344032132120000
64530330535532252
7326052562556630
oct41521267200750
98163274211355
102313022145000
11811a46778396
1231434252a088
1313a16a219508
147dd452836c0
1540278a14c35
hex21a8add01e8

2313022145000 has 160 divisors (see below), whose sum is σ = 6197309976000. Its totient is φ = 792562752000.

The previous prime is 2313022144997. The next prime is 2313022145003. The reversal of 2313022145000 is 5412203132.

It is an interprime number because it is at equal distance from previous prime (2313022144997) and next prime (2313022145003).

It is not an unprimeable number, because it can be changed into a prime (2313022145003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61336151 + ... + 61373849.

It is an arithmetic number, because the mean of its divisors is an integer number (38733187350).

Almost surely, 22313022145000 is an apocalyptic number.

2313022145000 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 2313022145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098654988000).

2313022145000 is an abundant number, since it is smaller than the sum of its proper divisors (3884287831000).

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

2313022145000 is a wasteful number, since it uses less digits than its factorization.

2313022145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39485 (or 39466 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 2313022145000 its reverse (5412203132), we get a palindrome (2318434348132).

The spelling of 2313022145000 in words is "two trillion, three hundred thirteen billion, twenty-two million, one hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 1753 2500 3500 3506 4375 5000 7000 7012 8750 8765 12271 14024 17500 17530 24542 35000 35060 37699 43825 49084 61355 70120 75398 87650 98168 122710 150796 175300 188495 219125 245420 263893 301592 306775 350600 376990 438250 490840 527786 613550 753980 876500 942475 1055572 1095625 1227100 1319465 1507960 1533875 1753000 1884950 2111144 2191250 2454200 2638930 3067750 3769900 4382500 4712375 5277860 6135500 6597325 7539800 7669375 8765000 9424750 10555720 12271000 13194650 15338750 18849500 23561875 26389300 30677500 32986625 37699000 47123750 52778600 61355000 65973250 66086347 94247500 131946500 132172694 164933125 188495000 263893000 264345388 329866250 330431735 462604429 528690776 659732500 660863470 925208858 1319465000 1321726940 1652158675 1850417716 2313022145 2643453880 3304317350 3700835432 4626044290 6608634700 8260793375 9252088580 11565110725 13217269400 16521586750 18504177160 23130221450 33043173500 41303966875 46260442900 57825553625 66086347000 82607933750 92520885800 115651107250 165215867500 231302214500 289127768125 330431735000 462604429000 578255536250 1156511072500 2313022145000