Search a number
-
+
202231220002031 = 1123153913948281
BaseRepresentation
bin101101111110110110100000…
…000001111101110011101111
3222112001010010102201000120102
4231332312200001331303233
5203001324014310031111
61554035423453341315
760411503104361633
oct5576664001756357
9875033112630512
10202231220002031
1159489862596a00
121a82192249783b
1388ac425bb2cac
1437d2086a58dc3
15185a7712a713b
hexb7eda007dcef

202231220002031 has 12 divisors (see below), whose sum is σ = 229457763888192. Its totient is φ = 177916029324000.

The previous prime is 202231220001977. The next prime is 202231220002061. The reversal of 202231220002031 is 130200022132202.

It is a happy number.

It is not a de Polignac number, because 202231220002031 - 210 = 202231220001007 is a prime.

It is a super-2 number, since 2×2022312200020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202231220001994 and 202231220002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202231220002061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26956970390 + ... + 26956977891.

It is an arithmetic number, because the mean of its divisors is an integer number (19121480324016).

Almost surely, 2202231220002031 is an apocalyptic number.

202231220002031 is a deficient number, since it is larger than the sum of its proper divisors (27226543886161).

202231220002031 is a wasteful number, since it uses less digits than its factorization.

202231220002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53913948334 (or 53913948323 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202231220002031 its reverse (130200022132202), we get a palindrome (332431242134233).

The spelling of 202231220002031 in words is "two hundred two trillion, two hundred thirty-one billion, two hundred twenty million, two thousand, thirty-one".

Divisors: 1 11 31 121 341 3751 53913948281 593053431091 1671332396711 6523587742001 18384656363821 202231220002031