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2320001014120 = 235539971097633
BaseRepresentation
bin100001110000101010110…
…101100001100101101000
322012210022212012200001221
4201300222311201211220
5301002330224422440
64533443241151424
7326420534150056
oct41605265414550
98183285180057
102320001014120
118149a80aa019
1231576b78b574
1313aa1003437a
148040809d1d6
1540536557d4a
hex21c2ad61968

2320001014120 has 64 divisors (see below), whose sum is σ = 5323832237520. Its totient is φ = 909576904704.

The previous prime is 2320001014109. The next prime is 2320001014187. The reversal of 2320001014120 is 214101000232.

It can be written as a sum of positive squares in 8 ways, for example, as 1834339766884 + 485661247236 = 1354378^2 + 696894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2320001014094 and 2320001014103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564824 + ... + 2662456.

Almost surely, 22320001014120 is an apocalyptic number.

2320001014120 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 2320001014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661916118760).

2320001014120 is an abundant number, since it is smaller than the sum of its proper divisors (3003831223400).

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

2320001014120 is a wasteful number, since it uses less digits than its factorization.

2320001014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098694 (or 1098690 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2320001014120 its reverse (214101000232), we get a palindrome (2534102014352).

The spelling of 2320001014120 in words is "two trillion, three hundred twenty billion, one million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 997 1060 1994 2120 3988 4985 7976 9970 19940 39880 52841 105682 211364 264205 422728 528410 1056820 1097633 2113640 2195266 4390532 5488165 8781064 10976330 21952660 43905320 58174549 116349098 232698196 290872745 465396392 581745490 1094340101 1163490980 2188680202 2326981960 4377360404 5471700505 8754720808 10943401010 21886802020 43773604040 58000025353 116000050706 232000101412 290000126765 464000202824 580000253530 1160000507060 2320001014120