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117262421331 = 31167835691123
BaseRepresentation
bin110110100110101100…
…0101000110101010011
3102012200012221012112220
41231031120220311103
53410123134440311
6125511500352123
711320605064326
oct1551530506523
9365605835486
10117262421331
1145804641810
121a886b45643
13b099ca4233
1459659307bd
1530b499b206
hex1b4d628d53

117262421331 has 64 divisors (see below), whose sum is σ = 175659079680. Its totient is φ = 68980919040.

The previous prime is 117262421327. The next prime is 117262421399. The reversal of 117262421331 is 133124262711.

It is not a de Polignac number, because 117262421331 - 22 = 117262421327 is a prime.

It is a super-2 number, since 2×1172624213312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 117262421292 and 117262421301.

It is not an unprimeable number, because it can be changed into a prime (117262421231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104418336 + ... + 104419458.

It is an arithmetic number, because the mean of its divisors is an integer number (2744673120).

Almost surely, 2117262421331 is an apocalyptic number.

117262421331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117262421331 is a deficient number, since it is larger than the sum of its proper divisors (58396658349).

117262421331 is a wasteful number, since it uses less digits than its factorization.

117262421331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856.

The product of its digits is 12096, while the sum is 33.

The spelling of 117262421331 in words is "one hundred seventeen billion, two hundred sixty-two million, four hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 67 83 201 249 569 737 913 1123 1707 2211 2739 3369 5561 6259 12353 16683 18777 37059 38123 47227 61171 75241 93209 114369 141681 183513 225723 279627 419353 519497 638987 827651 1025299 1258059 1558491 1916961 2482953 3075897 3164209 6245003 7028857 9492627 18735009 21086571 34806299 42812129 53035921 68695033 104418897 128436387 159107763 206085099 470933419 583395131 1412800257 1750185393 3553406707 10660220121 39087473777 117262421331