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101011000110002 = 24373137139844913
BaseRepresentation
bin10110111101111001110100…
…110001111010101110110010
3111020122120001021101102220022
4112331321310301322232302
5101214431012012010002
6554455451323443442
730163542514242653
oct2675716461725662
9436576037342808
10101011000110002
112a204585235574
12b3b4737686582
1344493b13771c8
141ad2d5c15752a
15ba27dbae7ba2
hex5bde74c7abb2

101011000110002 has 64 divisors (see below), whose sum is σ = 159450277472640. Its totient is φ = 47952500649984.

The previous prime is 101011000109969. The next prime is 101011000110043. The reversal of 101011000110002 is 200011000110101.

It is a happy number.

101011000110002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010110001100022 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 119129498 + ... + 119974410.

It is an arithmetic number, because the mean of its divisors is an integer number (2491410585510).

Almost surely, 2101011000110002 is an apocalyptic number.

101011000110002 is a deficient number, since it is larger than the sum of its proper divisors (58439277362638).

101011000110002 is a wasteful number, since it uses less digits than its factorization.

101011000110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845307.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011000110002 its reverse (200011000110101), we get a palindrome (301022000220103).

Subtracting 101011000110002 from its reverse (200011000110101), we obtain a palindrome (99000000000099).

The spelling of 101011000110002 in words is "one hundred one trillion, eleven billion, one hundred ten thousand, two".

Divisors: 1 2 43 73 86 137 139 146 274 278 3139 5891 5977 6278 10001 10147 11782 11954 19043 20002 20294 38086 430043 436321 818849 844913 860086 872642 1390139 1637698 1689826 2780278 36331259 59775977 61678649 72662518 115753081 117442907 119551954 123357298 231506162 234885814 2652181907 4977382483 5050045001 5304363814 8449974913 8573332211 9954764966 10100090002 16089678259 16899949826 17146664422 32179356518 363348921259 368653285073 691856165137 726697842518 737306570146 1174546512907 1383712330274 2349093025814 50505500055001 101011000110002