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2313301001000 = 235311544138651
BaseRepresentation
bin100001101010011011011…
…111000000001100101000
322012011000220221201220212
4201222123133000030220
5300400120024013000
64530414340440252
7326062520034113
oct41523337001450
98164026851825
102313301001000
1181207a11aaa0
123143bb9a9088
1313a1b2c23272
147dd7031157a
1540293248c35
hex21a9b7c0328

2313301001000 has 128 divisors (see below), whose sum is σ = 5906464686720. Its totient is φ = 841024000000.

The previous prime is 2313301000987. The next prime is 2313301001027. The reversal of 2313301001000 is 1001033132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59831675 + ... + 59870325.

It is an arithmetic number, because the mean of its divisors is an integer number (46144255365).

Almost surely, 22313301001000 is an apocalyptic number.

2313301001000 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 2313301001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953232343360).

2313301001000 is an abundant number, since it is smaller than the sum of its proper divisors (3593163685720).

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

2313301001000 is a wasteful number, since it uses less digits than its factorization.

2313301001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44124 (or 44110 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 2313301001000 its reverse (1001033132), we get a palindrome (2314302034132).

The spelling of 2313301001000 in words is "two trillion, three hundred thirteen billion, three hundred one million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5441 5500 10882 11000 21764 27205 38651 43528 54410 59851 77302 108820 119702 136025 154604 193255 217640 239404 272050 299255 309208 386510 425161 478808 544100 598510 680125 773020 850322 966275 1088200 1197020 1360250 1496275 1546040 1700644 1932550 2125805 2394040 2720500 2992550 3401288 3865100 4251610 4831375 5441000 5985100 7481375 7730200 8503220 9662750 10629025 11970200 14962750 17006440 19325500 21258050 29925500 38651000 42516100 53145125 59851000 85032200 106290250 210300091 212580500 420600182 425161000 841200364 1051500455 1682400728 2103000910 2313301001 4206001820 4626602002 5257502275 8412003640 9253204004 10515004550 11566505005 18506408008 21030009100 23133010010 26287511375 42060018200 46266020020 52575022750 57832525025 92532040040 105150045500 115665050050 210300091000 231330100100 289162625125 462660200200 578325250250 1156650500500 2313301001000