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10022001230031 = 3719412549240341
BaseRepresentation
bin1001000111010110110111…
…0100101100000011001111
31022111002112111102112120220
42101311231310230003033
52303200024303330111
633152013243442423
72053031350615140
oct221655564540317
938432474375526
1010022001230031
11321434146a85a
12115a3b7b26413
135790bc31b32b
142690d310dac7
15125a66715e06
hex91d6dd2c0cf

10022001230031 has 64 divisors (see below), whose sum is σ = 16474002048000. Its totient is φ = 5291017804800.

The previous prime is 10022001229963. The next prime is 10022001230041. The reversal of 10022001230031 is 13003210022001.

It is not a de Polignac number, because 10022001230031 - 210 = 10022001229007 is a prime.

It is a super-2 number, since 2×100220012300312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022001230041) 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 63 ways as a sum of consecutive naturals, for example, 41578921 + ... + 41819261.

It is an arithmetic number, because the mean of its divisors is an integer number (257406282000).

Almost surely, 210022001230031 is an apocalyptic number.

10022001230031 is a deficient number, since it is larger than the sum of its proper divisors (6452000817969).

10022001230031 is a wasteful number, since it uses less digits than its factorization.

10022001230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242960.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10022001230031 its reverse (13003210022001), we get a palindrome (23025211252032).

The spelling of 10022001230031 in words is "ten trillion, twenty-two billion, one million, two hundred thirty thousand, thirty-one".

Divisors: 1 3 7 19 21 41 57 123 133 287 399 779 861 2337 2549 5453 7647 16359 17843 48431 53529 104509 145293 240341 313527 339017 721023 731563 1017051 1682387 1985671 2194689 4566479 5047161 5957013 9853981 13699437 13899697 29561943 31965353 41699091 68977867 95896059 187225639 206933601 561676917 612629209 1310579473 1837887627 3931738419 4288404463 11639954971 12865213389 25117797569 34919864913 75353392707 81479684797 175824582983 244439054391 477238153811 527473748949 1431714461433 3340667076677 10022001230031