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2313023303000 = 23537135339221
BaseRepresentation
bin100001101010001010111…
…011101010110101011000
322012010022120102012212202
4201222022323222311120
5300344032431144000
64530331020425332
7326052605452004
oct41521273526530
98163276365782
102313023303000
11811a47399413
123143429a8248
1313a16a533617
147dd454a5704
1540278b92dd5
hex21a8aeead58

2313023303000 has 128 divisors (see below), whose sum is σ = 5490855527040. Its totient is φ = 911821120000.

The previous prime is 2313023302979. The next prime is 2313023303009. The reversal of 2313023303000 is 3033203132.

2313023303000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313023303009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250838390 + ... + 250847610.

It is an arithmetic number, because the mean of its divisors is an integer number (42897308805).

Almost surely, 22313023303000 is an apocalyptic number.

2313023303000 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 2313023303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745427763520).

2313023303000 is an abundant number, since it is smaller than the sum of its proper divisors (3177832224040).

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

2313023303000 is a wasteful number, since it uses less digits than its factorization.

2313023303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12846 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 2313023303000 its reverse (3033203132), we get a palindrome (2316056506132).

The spelling of 2313023303000 in words is "two trillion, three hundred thirteen billion, twenty-three million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3533 3550 7066 7100 8875 9221 14132 14200 17665 17750 18442 28264 35330 35500 36884 46105 70660 71000 73768 88325 92210 141320 176650 184420 230525 250843 353300 368840 441625 461050 501686 654691 706600 883250 922100 1003372 1152625 1254215 1309382 1766500 1844200 2006744 2305250 2508430 2618764 3273455 3533000 4610500 5016860 5237528 6271075 6546910 9221000 10033720 12542150 13093820 16367275 25084300 26187640 31355375 32577793 32734550 50168600 62710750 65155586 65469100 81836375 125421500 130311172 130938200 162888965 163672750 250843000 260622344 325777930 327345500 651555860 654691000 814444825 1303111720 1628889650 2313023303 3257779300 4072224125 4626046606 6515558600 8144448250 9252093212 11565116515 16288896500 18504186424 23130233030 32577793000 46260466060 57825582575 92520932120 115651165150 231302330300 289127912875 462604660600 578255825750 1156511651500 2313023303000