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101110201111002 = 231941349127948463
BaseRepresentation
bin10110111111010110001101…
…100111101101000111011010
3111021000001002202120102120110
4112333112031213231013122
5101223042142441023002
6555013215105305150
730203654016654216
oct2677261547550732
9437001082512513
10101110201111002
112a242660653916
12b40ba019351b6
134455860494575
141ad7a8d02d946
15ba5195b06e6c
hex5bf58d9ed1da

101110201111002 has 128 divisors (see below), whose sum is σ = 218855669760000. Its totient is φ = 31036584568320.

The previous prime is 101110201111001. The next prime is 101110201111037. The reversal of 101110201111002 is 200111102011101.

It is not an unprimeable number, because it can be changed into a prime (101110201111001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2086313823 + ... + 2086362285.

It is an arithmetic number, because the mean of its divisors is an integer number (1709809920000).

Almost surely, 2101110201111002 is an apocalyptic number.

101110201111002 is an abundant number, since it is smaller than the sum of its proper divisors (117745468648998).

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

101110201111002 is a wasteful number, since it uses less digits than its factorization.

101110201111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50156.

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

Adding to 101110201111002 its reverse (200111102011101), we get a palindrome (301221303122103).

Subtracting 101110201111002 from its reverse (200111102011101), we obtain a palindrome (99000900900099).

The spelling of 101110201111002 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 19 38 41 57 82 114 123 246 349 698 779 1047 1279 1558 2094 2337 2558 3837 4674 6631 7674 13262 14309 19893 24301 28618 39786 42927 48463 48602 52439 72903 85854 96926 104878 145389 145806 157317 271871 290778 314634 446371 543742 815613 892742 920797 996341 1339113 1631226 1841594 1986983 1992682 2678226 2762391 2989023 3973966 5524782 5960949 5978046 8481049 11921898 16913587 16962098 18301211 25443147 33827174 36602422 37752677 50740761 50886294 54903633 61984177 75505354 101481522 109807266 113258031 123968354 185952531 226516062 321358153 347723009 371905062 642716306 693457067 695446018 964074459 1043169027 1177699363 1386914134 1928148918 2080371201 2086338054 2355398726 2541351257 3533098089 4160742402 5082702514 7066196178 7624053771 13175684273 15248107542 21632477773 26351368546 39527052819 43264955546 48285673883 64897433319 79054105638 96571347766 129794866638 144857021649 289714043298 411017077687 822034155374 886931588693 1233051233061 1773863177386 2466102466122 2660794766079 5321589532158 16851700185167 33703400370334 50555100555501 101110201111002