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2313002324100 = 22352133171870907
BaseRepresentation
bin100001101010001001101…
…011101001000010000100
322012010021002221101020110
4201222021223221002010
5300344012043332400
64530324551033020
7326052232235016
oct41521153510204
98163232841213
102313002324100
11811a3656a686
1231433796b770
1313a166099780
147dd427a41b6
1540276debe50
hex21a89ae9084

2313002324100 has 144 divisors (see below), whose sum is σ = 7229817137088. Its totient is φ = 567558044160.

The previous prime is 2313002324081. The next prime is 2313002324177. The reversal of 2313002324100 is 14232003132.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300847 + ... + 2171753.

It is an arithmetic number, because the mean of its divisors is an integer number (50207063452).

Almost surely, 22313002324100 is an apocalyptic number.

2313002324100 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 2313002324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614908568544).

2313002324100 is an abundant number, since it is smaller than the sum of its proper divisors (4916814812988).

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

2313002324100 is a wasteful number, since it uses less digits than its factorization.

2313002324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871254 (or 1871247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2313002324100 its reverse (14232003132), we get a palindrome (2327234327232).

The spelling of 2313002324100 in words is "two trillion, three hundred thirteen billion, two million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 317 325 390 634 650 780 951 975 1268 1300 1585 1902 1950 3170 3804 3900 4121 4755 6340 7925 8242 9510 12363 15850 16484 19020 20605 23775 24726 31700 41210 47550 49452 61815 82420 95100 103025 123630 206050 247260 309075 412100 618150 1236300 1870907 3741814 5612721 7483628 9354535 11225442 18709070 22450884 24321791 28063605 37418140 46772675 48643582 56127210 72965373 93545350 97287164 112254420 121608955 140318025 145930746 187090700 243217910 280636050 291861492 364826865 486435820 561272100 593077519 608044775 729653730 1186155038 1216089550 1459307460 1779232557 1824134325 2372310076 2432179100 2965387595 3558465114 3648268650 5930775190 7116930228 7296537300 7710007747 8896162785 11861550380 14826937975 15420015494 17792325570 23130023241 29653875950 30840030988 35584651140 38550038735 44480813925 46260046482 59307751900 77100077470 88961627850 92520092964 115650116205 154200154940 177923255700 192750193675 231300232410 385500387350 462600464820 578250581025 771000774700 1156501162050 2313002324100