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200302131320133 = 31731127997585159
BaseRepresentation
bin101101100010110001111001…
…011000101001010101000101
3222021012200210221000100220020
4231202301321120221111011
5202223222231104221013
61550001310120125353
760122231353211403
oct5542617130512505
9867180727010806
10200302131320133
115890572529aa47
121a56ba8a606859
13879c54382345b
143766963c46473
1518254b8900623
hexb62c79629545

200302131320133 has 32 divisors (see below), whose sum is σ = 294199834705920. Its totient is φ = 120667900711680.

The previous prime is 200302131320101. The next prime is 200302131320173. The reversal of 200302131320133 is 331023131203002.

It is not a de Polignac number, because 200302131320133 - 25 = 200302131320101 is a prime.

It is a super-2 number, since 2×2003021313201332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200302131320173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498591793 + ... + 498993366.

It is an arithmetic number, because the mean of its divisors is an integer number (9193744834560).

Almost surely, 2200302131320133 is an apocalyptic number.

It is an amenable number.

200302131320133 is a deficient number, since it is larger than the sum of its proper divisors (93897703385787).

200302131320133 is a wasteful number, since it uses less digits than its factorization.

200302131320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997585337.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 200302131320133 its reverse (331023131203002), we get a palindrome (531325262523135).

The spelling of 200302131320133 in words is "two hundred trillion, three hundred two billion, one hundred thirty-one million, three hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 17 31 51 93 127 381 527 1581 2159 3937 6477 11811 66929 200787 997585159 2992755477 16958947703 30925139929 50876843109 92775419787 126693315193 380079945579 525727378793 1577182136379 2153786358281 3927492770983 6461359074843 11782478312949 66767377106711 200302131320133