Search a number
-
+
232311011020123 = 72174150319137069
BaseRepresentation
bin110100110100100100011111…
…010010100000110101011011
31010110112201022210021110202211
4310310210133102200311123
5220422140422310120443
62142030112151135551
766634626263406100
oct6464443722406533
91113481283243684
10232311011020123
1168026601426912
122207b51b6745b7
139c81ab00766c9
144151cad100aa7
151bcce2101e19d
hexd3491f4a0d5b

232311011020123 has 96 divisors (see below), whose sum is σ = 293892521408640. Its totient is φ = 182354888540160.

The previous prime is 232311011020087. The next prime is 232311011020141. The reversal of 232311011020123 is 321020110113232.

232311011020123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232311011020123 - 229 = 232310474149211 is a prime.

It is a super-2 number, since 2×2323110110201232 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232311011020094 and 232311011020103.

It is not an unprimeable number, because it can be changed into a prime (232311011020183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32863345033 + ... + 32863352101.

It is an arithmetic number, because the mean of its divisors is an integer number (3061380431340).

Almost surely, 2232311011020123 is an apocalyptic number.

232311011020123 is a deficient number, since it is larger than the sum of its proper divisors (61581510388517).

232311011020123 is a wasteful number, since it uses less digits than its factorization.

232311011020123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 232311011020123 its reverse (321020110113232), we get a palindrome (553331121133355).

The spelling of 232311011020123 in words is "two hundred thirty-two trillion, three hundred eleven billion, eleven million, twenty thousand, one hundred twenty-three".

Divisors: 1 7 17 41 49 119 287 503 697 833 1913 2009 3521 4879 7069 8551 13391 20623 24647 32521 34153 49483 59857 78433 93737 120173 144361 227647 289829 346381 350591 418999 549031 841211 962239 1010527 1333361 1593529 2028803 2454137 3555707 3843217 4927093 5888477 6735673 9333527 13522997 14201621 16358063 17178959 24889949 34489651 39451799 47149711 60447019 65334689 94660979 114506441 145783987 174229643 229890949 241427557 276162593 423129133 554442877 662626853 670680583 801545087 1020487909 1609236643 1933138151 2478327779 2961903931 3881100139 4694764081 6802067491 7143415363 9425528909 11264656501 17348294453 27167700973 32863348567 47614472437 65978702363 115635147347 121438061171 278884767131 333301307059 461850916541 809446031429 1952193369917 4741041041227 5666122220003 13665353589419 33187287288589 232311011020123