Search a number
-
+
230120202213321 = 37831049125858303
BaseRepresentation
bin110100010100101100001000…
…111010001001011111001001
31010011210021110112222221002020
4310110230020322021133021
5220130242133231311241
62133231432251155053
766320431063662450
oct6424541072113711
91104707415887066
10230120202213321
116736147aa23372
1221986a06145a89
139b5331b766034
1440b7c3d113b97
151b90e4b963b66
hexd14b08e897c9

230120202213321 has 32 divisors (see below), whose sum is σ = 355222477209600. Its totient is φ = 129789108488064.

The previous prime is 230120202213283. The next prime is 230120202213323. The reversal of 230120202213321 is 123312202021032.

It is not a de Polignac number, because 230120202213321 - 210 = 230120202212297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230120202213291 and 230120202213300.

It is not an unprimeable number, because it can be changed into a prime (230120202213323) 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, 61100745 + ... + 64757558.

It is an arithmetic number, because the mean of its divisors is an integer number (11100702412800).

Almost surely, 2230120202213321 is an apocalyptic number.

230120202213321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230120202213321 is a deficient number, since it is larger than the sum of its proper divisors (125102274996279).

230120202213321 is a wasteful number, since it uses less digits than its factorization.

230120202213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125859445.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 230120202213321 its reverse (123312202021032), we get a palindrome (353432404234353).

The spelling of 230120202213321 in words is "two hundred thirty trillion, one hundred twenty billion, two hundred two million, two hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 7 21 83 249 581 1049 1743 3147 7343 22029 87067 261201 609469 1828407 125858303 377574909 881008121 2643024363 10446239149 31338717447 73123674043 132025359847 219371022129 396076079541 924177518929 2772532556787 10958104867301 32874314601903 76706734071107 230120202213321