Search a number
-
+
101311111211202 = 232192734571083283
BaseRepresentation
bin10111000010010001010100…
…110010111010100011000010
3111021201020200112100222211200
4113002101110302322203002
5101234340123432224302
6555245403150122030
730224325531434454
oct2702212462724302
9437636615328750
10101311111211202
112a30a88a115842
12b4429321b0316
13446b79b205469
141b036abd3a2d4
15baa503e0081c
hex5c2454cba8c2

101311111211202 has 48 divisors (see below), whose sum is σ = 231061487336160. Its totient is φ = 31992835959936.

The previous prime is 101311111211197. The next prime is 101311111211273. The reversal of 101311111211202 is 202112111113101.

101311111211202 is a `hidden beast` number, since 10 + 1 + 311 + 111 + 211 + 20 + 2 = 666.

101311111211202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92980653 + ... + 94063935.

It is an arithmetic number, because the mean of its divisors is an integer number (4813780986170).

Almost surely, 2101311111211202 is an apocalyptic number.

101311111211202 is an abundant number, since it is smaller than the sum of its proper divisors (129750376124958).

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

101311111211202 is a wasteful number, since it uses less digits than its factorization.

101311111211202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356767 (or 1356764 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101311111211202 its reverse (202112111113101), we get a palindrome (303423222324303).

The spelling of 101311111211202 in words is "one hundred one trillion, three hundred eleven billion, one hundred eleven million, two hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 273457 546914 820371 1083283 1640742 2166566 2461113 3249849 4922226 5195683 6499698 9749547 10391366 15587049 19499094 20582377 31174098 41164754 46761147 61747131 93522294 123494262 185241393 370482786 296231319331 592462638662 888693957993 1777387915986 2666081873979 5332163747958 5628395067289 11256790134578 16885185201867 33770370403734 50655555605601 101311111211202