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101111132122 = 271113163383809
BaseRepresentation
bin101111000101010110…
…0010110111111011010
3100122222121102200222021
41132022230112333122
53124033422211442
6114241054245054
710206425304520
oct1361254267732
9318877380867
10101111132122
1139976664110
1217719ab678a
1396c4a8a380
144c7285a310
15296ba6de67
hex178ab16fda

101111132122 has 128 divisors (see below), whose sum is σ = 205674577920. Its totient is φ = 36001635840.

The previous prime is 101111132047. The next prime is 101111132141. The reversal of 101111132122 is 221231111101.

It is a happy number.

It is a super-2 number, since 2×1011111321222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111132096 and 101111132105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124982454 + ... + 124983262.

It is an arithmetic number, because the mean of its divisors is an integer number (1606832640).

Almost surely, 2101111132122 is an apocalyptic number.

101111132122 is an abundant number, since it is smaller than the sum of its proper divisors (104563445798).

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

101111132122 is a wasteful number, since it uses less digits than its factorization.

101111132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101111132122 its reverse (221231111101), we get a palindrome (322342243223).

The spelling of 101111132122 in words is "one hundred one billion, one hundred eleven million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 163 182 286 326 383 766 809 1001 1141 1618 1793 2002 2119 2282 2681 3586 4213 4238 4979 5362 5663 8426 8899 9958 10517 11326 12551 14833 17798 21034 23309 25102 29491 29666 34853 46618 54769 58982 62293 62429 69706 73619 109538 115687 124586 124858 131867 147238 163163 231374 263734 309847 326326 383383 437003 619694 686719 766766 809809 811577 874006 923069 1373438 1450537 1619618 1623154 1714271 1846138 2168929 2901074 3408317 3428542 4028011 4337858 4807033 5681039 6816634 8056022 8927347 9614066 10153759 11362078 11999897 17854694 18856981 20307518 23858219 23999794 28196077 37713962 44308121 47716438 50505061 56392154 62491429 88616242 101010122 124982858 131998867 263997734 310156847 353535427 555555671 620313694 656565793 707070854 1111111342 1313131586 3888889697 4595960551 7222223723 7777779394 9191921102 14444447446 50555566061 101111132122