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10022111332134 = 23114727077119321
BaseRepresentation
bin1001000111010111010001…
…1000101100011100100110
31022111002211011121022021120
42101311310120230130212
52303200241000112014
633152032215354410
72053034155513416
oct221656430543446
938432734538246
1010022111332134
113214398631130
12115a428982a06
1357910908acc5
142691039b0646
15125a71213ba9
hex91d7462c726

10022111332134 has 64 divisors (see below), whose sum is σ = 22332679713792. Its totient is φ = 2972251654400.

The previous prime is 10022111332127. The next prime is 10022111332139. The reversal of 10022111332134 is 43123311122001.

It is a super-3 number, since 3×100221113321343 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022111332139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83933194 + ... + 84052514.

It is an arithmetic number, because the mean of its divisors is an integer number (348948120528).

Almost surely, 210022111332134 is an apocalyptic number.

10022111332134 is an abundant number, since it is smaller than the sum of its proper divisors (12310568381658).

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

10022111332134 is a wasteful number, since it uses less digits than its factorization.

10022111332134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146461.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10022111332134 its reverse (43123311122001), we get a palindrome (53145422454135).

The spelling of 10022111332134 in words is "ten trillion, twenty-two billion, one hundred eleven million, three hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 27077 54154 81231 119321 162462 238642 297847 357963 595694 715926 893541 1272619 1312531 1787082 2545238 2625062 3817857 3937593 5608087 7635714 7875186 11216174 13998809 16824261 27997618 33648522 41996427 61688957 83992854 123377914 185066871 370133742 3230854717 6461709434 9692564151 19385128302 35539401887 71078803774 106618205661 151850171699 213236411322 303700343398 455550515097 911101030194 1670351888689 3340703777378 5011055666067 10022111332134