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401010101010104 = 232379101273142339
BaseRepresentation
bin101101100101101110111000…
…0100111110011111010111000
31221120212012011102112000120012
41123023131300213303322320
5410030122141324310404
63540513255221121052
7150316011063563405
oct13313356047637270
91846765142460505
10401010101010104
11106857479787a23
1238b8653b559188
131429b12340c241
147104dc73c92ac
1531562d6556a6e
hex16cb7709f3eb8

401010101010104 has 64 divisors (see below), whose sum is σ = 802382937984000. Its totient is φ = 187484900803200.

The previous prime is 401010101010073. The next prime is 401010101010119.

401010101010104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4010101010101042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135103034 + ... + 138039305.

It is an arithmetic number, because the mean of its divisors is an integer number (12537233406000).

Almost surely, 2401010101010104 is an apocalyptic number.

It is an amenable number.

401010101010104 is an abundant number, since it is smaller than the sum of its proper divisors (401372836973896).

401010101010104 is a wasteful number, since it uses less digits than its factorization.

401010101010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273142548 (or 273142544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 40101010 and 1010104, that added together give a palindrome (41111114).

The spelling of 401010101010104 in words is "four hundred one trillion, ten billion, one hundred one million, ten thousand, one hundred four".

Divisors: 1 2 4 8 23 46 79 92 101 158 184 202 316 404 632 808 1817 2323 3634 4646 7268 7979 9292 14536 15958 18584 31916 63832 183517 367034 734068 1468136 273142339 546284678 1092569356 2185138712 6282273797 12564547594 21578244781 25129095188 27587376239 43156489562 50258190376 55174752478 86312979124 110349504956 172625958248 220699009912 496299629963 634509653497 992599259926 1269019306994 1985198519852 2179402722881 2538038613988 3970397039704 4358805445762 5076077227976 8717610891524 17435221783048 50126262626263 100252525252526 200505050505052 401010101010104