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114241211132310 = 23251279994856617
BaseRepresentation
bin11001111110011011011010…
…110011101110100110010110
3112222111100112102112121020100
4121332123122303232212112
5104433212000022213220
61042545404325314530
733030440465362533
oct3176333263564626
9488440472477210
10114241211132310
1133445475470699
1210990866565a46
134b98b9135cb42
14202d438719d8a
15d31a21b12d90
hex67e6dacee996

114241211132310 has 48 divisors (see below), whose sum is σ = 299365945422336. Its totient is φ = 30224446406784.

The previous prime is 114241211132287. The next prime is 114241211132329. The reversal of 114241211132310 is 13231112142411.

114241211132310 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 1 + 211 + 132 + 310 = 666.

It is a super-2 number, since 2×1142412111323102 (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 4997416879 + ... + 4997439738.

It is an arithmetic number, because the mean of its divisors is an integer number (6236790529632).

Almost surely, 2114241211132310 is an apocalyptic number.

114241211132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114241211132310 is an abundant number, since it is smaller than the sum of its proper divisors (185124734290026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114241211132310 is a wasteful number, since it uses less digits than its factorization.

114241211132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994856757 (or 9994856754 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 114241211132310 its reverse (13231112142411), we get a palindrome (127472323274721).

The spelling of 114241211132310 in words is "one hundred fourteen trillion, two hundred forty-one billion, two hundred eleven million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 11430 9994856617 19989713234 29984569851 49974283085 59969139702 89953709553 99948566170 149922849255 179907419106 299845698510 449768547765 899537095530 1269346790359 2538693580718 3808040371077 6346733951795 7616080742154 11424121113231 12693467903590 19040201855385 22848242226462 38080403710770 57120605566155 114241211132310