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2323101434140 = 22523311361119699
BaseRepresentation
bin100001110011100011101…
…000101100000100011100
322020002022221012022210001
4201303203220230010130
5301030202431343030
64535115034024044
7326560422244354
oct41634350540434
98202287168701
102323101434140
11816249218513
12316295b78024
1313b0b5478626
148061db65b64
1540668835cca
hex21ce3a2c11c

2323101434140 has 96 divisors (see below), whose sum is σ = 5258740838400. Its totient is φ = 859527398400.

The previous prime is 2323101434131. The next prime is 2323101434273. The reversal of 2323101434140 is 414341013232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2323101434099 and 2323101434108.

It is a congruent number.

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, 19348011 + ... + 19467709.

It is an arithmetic number, because the mean of its divisors is an integer number (54778550400).

Almost surely, 22323101434140 is an apocalyptic number.

2323101434140 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 2323101434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629370419200).

2323101434140 is an abundant number, since it is smaller than the sum of its proper divisors (2935639404260).

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

2323101434140 is a wasteful number, since it uses less digits than its factorization.

2323101434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121123 (or 121121 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2323101434140 its reverse (414341013232), we get a palindrome (2737442447372).

The spelling of 2323101434140 in words is "two trillion, three hundred twenty-three billion, one hundred one million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1361 1426 2722 2852 3565 5444 6805 7130 13610 14260 27220 31303 42191 62606 84382 119699 125212 156515 168764 210955 239398 313030 421910 478796 598495 626060 843820 970393 1196990 1940786 2393980 2753077 3710669 3881572 4851965 5506154 7421338 9703930 11012308 13765385 14842676 18553345 19407860 27530770 37106690 55061540 74213380 85345387 162910339 170690774 325820678 341381548 426726935 651641356 814551695 853453870 1629103390 1706907740 3258206780 3746937797 5050220509 7493875594 10100441018 14987751188 18734688985 20200882036 25251102545 37469377970 50502205090 74938755940 101004410180 116155071707 232310143414 464620286828 580775358535 1161550717070 2323101434140