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31334200344534 = 23193773101762831
BaseRepresentation
bin1110001111111100011111…
…11000010111111111010110
311002221112001022000201120110
413013332033320113333112
513101334420242011114
6150350422150543450
76412551460244103
oct707761770277726
9132845038021513
1031334200344534
119a9083a23929a
123620940367b86
131463a57b98239
147a4824b65aaa
1539511b474759
hex1c7f8fe17fd6

31334200344534 has 64 divisors (see below), whose sum is σ = 68677700060160. Its totient is φ = 9495693192960.

The previous prime is 31334200344533. The next prime is 31334200344631. The reversal of 31334200344534 is 43544300243313.

It is a happy number.

It is a super-2 number, since 2×313342003445342 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31334200344492 and 31334200344501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31334200344533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50573502 + ... + 51189329.

It is an arithmetic number, because the mean of its divisors is an integer number (1073089063440).

Almost surely, 231334200344534 is an apocalyptic number.

31334200344534 is an abundant number, since it is smaller than the sum of its proper divisors (37343499715626).

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

31334200344534 is a wasteful number, since it uses less digits than its factorization.

31334200344534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101762965.

The product of its (nonzero) digits is 622080, while the sum is 39.

Adding to 31334200344534 its reverse (43544300243313), we get a palindrome (74878500587847).

The spelling of 31334200344534 in words is "thirty-one trillion, three hundred thirty-four billion, two hundred million, three hundred forty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 19 37 38 57 73 74 111 114 146 219 222 438 703 1387 1406 2109 2701 2774 4161 4218 5402 8103 8322 16206 51319 102638 153957 307914 101762831 203525662 305288493 610576986 1933493789 3765224747 3866987578 5800481367 7428686663 7530449494 11295674241 11600962734 14857373326 22286059989 22591348482 44572119978 71539270193 141145046597 143078540386 214617810579 274861406531 282290093194 423435139791 429235621158 549722813062 824584219593 846870279582 1649168439186 5222366724089 10444733448178 15667100172267 31334200344534