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121022303031 = 3272523647811
BaseRepresentation
bin111000010110101111…
…1011100101100110111
3102120101020210222121200
41300231133130230313
53440323202144111
6131332531543543
711513021413500
oct1605537345467
9376336728550
10121022303031
1147363a31563
121b55615abb3
13b548c32cc6
145c0101bba7
153234ae0256
hex1c2d7dcb37

121022303031 has 72 divisors (see below), whose sum is σ = 204305721984. Its totient is φ = 68831713440.

The previous prime is 121022302997. The next prime is 121022303063. The reversal of 121022303031 is 130303220121.

It is not a de Polignac number, because 121022303031 - 210 = 121022302007 is a prime.

It is a super-2 number, since 2×1210223030312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121022302995 and 121022303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022403031) 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 71 ways as a sum of consecutive naturals, for example, 149225616 + ... + 149226426.

It is an arithmetic number, because the mean of its divisors is an integer number (2837579472).

Almost surely, 2121022303031 is an apocalyptic number.

121022303031 is a deficient number, since it is larger than the sum of its proper divisors (83283418953).

121022303031 is a wasteful number, since it uses less digits than its factorization.

121022303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121022303031 its reverse (130303220121), we get a palindrome (251325523152).

The spelling of 121022303031 in words is "one hundred twenty-one billion, twenty-two million, three hundred three thousand, thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 523 647 811 1569 1941 2433 3661 4529 4707 5677 5823 7299 10983 13587 17031 25627 31703 32949 39739 40761 51093 76881 95109 119217 230643 285327 338381 357651 424153 524717 1015143 1272459 1574151 2368667 2969071 3045429 3673019 3817377 4722453 7106001 8907213 11019057 16580669 20783497 21318003 25711133 26721639 33057171 49742007 62350491 77133399 149226021 187051473 231400197 274426991 823280973 1920988937 2469842919 5762966811 13446922559 17288900433 40340767677 121022303031