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10022131213 = 611271936703
BaseRepresentation
bin10010101010101110…
…11001011000001101
3221212110102000102221
421111113121120031
5131011131144323
64334253015341
7503233465303
oct112527313015
927773360387
1010022131213
114283260576
121b38484551
13c39468973
146b1084273
153d9cd055d
hex2555d960d

10022131213 has 16 divisors (see below), whose sum is σ = 10321371136. Its totient is φ = 9728087040.

The previous prime is 10022131187. The next prime is 10022131279. The reversal of 10022131213 is 31213122001.

10022131213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022131213 is a prime.

It is a super-2 number, since 2×100221312132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022135213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491820 + ... + 1498522.

It is an arithmetic number, because the mean of its divisors is an integer number (645085696).

Almost surely, 210022131213 is an apocalyptic number.

It is an amenable number.

10022131213 is a deficient number, since it is larger than the sum of its proper divisors (299239923).

10022131213 is a wasteful number, since it uses less digits than its factorization.

10022131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10022131213 its reverse (31213122001), we get a palindrome (41235253214).

The spelling of 10022131213 in words is "ten billion, twenty-two million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 61 127 193 6703 7747 11773 24511 408883 851281 1293679 1495171 51928141 78914419 164297233 10022131213