Search a number
-
+
1312232210120 = 2351310124985381
BaseRepresentation
bin10011000110000111001…
…000100111111011001000
311122110002201102002222102
4103012013020213323020
5132444422421210440
62442455310212532
7163543223514506
oct23060710477310
94573081362872
101312232210120
11466572966757
1219239bab4148
13969873b31b0
1447725d71676
1524202c63b15
hex13187227ec8

1312232210120 has 64 divisors (see below), whose sum is σ = 3211121294640. Its totient is φ = 479719296000.

The previous prime is 1312232210033. The next prime is 1312232210131. The reversal of 1312232210120 is 210122322131.

It can be written as a sum of positive squares in 8 ways, for example, as 217810756804 + 1094421453316 = 466702^2 + 1046146^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1312232210092 and 1312232210101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12440171 + ... + 12545210.

Almost surely, 21312232210120 is an apocalyptic number.

1312232210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312232210120 is an abundant number, since it is smaller than the sum of its proper divisors (1898889084520).

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

1312232210120 is a wasteful number, since it uses less digits than its factorization.

1312232210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24985506 (or 24985502 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1312232210120 its reverse (210122322131), we get a palindrome (1522354532251).

The spelling of 1312232210120 in words is "one trillion, three hundred twelve billion, two hundred thirty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2626 4040 5252 6565 10504 13130 26260 52520 24985381 49970762 99941524 124926905 199883048 249853810 324809953 499707620 649619906 999415240 1299239812 1624049765 2523523481 2598479624 3248099530 5047046962 6496199060 10094093924 12617617405 12992398120 20188187848 25235234810 32805805253 50470469620 65611610506 100940939240 131223221012 164029026265 262446442024 328058052530 656116105060 1312232210120