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101001111100122 = 231913731669386629
BaseRepresentation
bin10110111101110000100111…
…010110010101101011011010
3111020121121112002110200121010
4112331300213112111223122
5101214300233420200442
6554451134143554350
730163042455115242
oct2675604726255332
9436547462420533
10101001111100122
112a200370139032
12b3b28378bb9b6
13444849667a97c
141ad26a0a46b22
15ba240d860b9c
hex5bdc27595ada

101001111100122 has 64 divisors (see below), whose sum is σ = 212916831696000. Its totient is φ = 31852678733568.

The previous prime is 101001111100063. The next prime is 101001111100151. The reversal of 101001111100122 is 221001111100101.

It is a super-2 number, since 2×1010011111001222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001111100098 and 101001111100107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261041904 + ... + 261428532.

It is an arithmetic number, because the mean of its divisors is an integer number (3326825495250).

Almost surely, 2101001111100122 is an apocalyptic number.

101001111100122 is an abundant number, since it is smaller than the sum of its proper divisors (111915720595878).

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

101001111100122 is a wasteful number, since it uses less digits than its factorization.

101001111100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389695.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101001111100122 its reverse (221001111100101), we get a palindrome (322002222200223).

The spelling of 101001111100122 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 114 1373 1669 2746 3338 4119 5007 8238 10014 26087 31711 52174 63422 78261 95133 156522 190266 386629 773258 1159887 2291537 2319774 4583074 6874611 7345951 13749222 14691902 22037853 43539203 44075706 87078406 130617609 261235218 530841617 645283801 1061683234 1290567602 1592524851 1935851403 3185049702 3871702806 10085990723 12260392219 20171981446 24520784438 30257972169 36781176657 60515944338 73562353314 885974658773 1771949317546 2657923976319 5315847952638 16833518516687 33667037033374 50500555550061 101001111100122