Search a number
-
+
112102212111021 = 32112109944408321
BaseRepresentation
bin11001011111010011010100…
…100010000000101010101101
3112200220212101220111212011200
4121133103110202000222231
5104143140312300023041
61034231013441040113
732420055214603446
oct3137232442005255
9480825356455150
10112102212111021
11327a0310268900
12106a61b0026039
134a722687272a2
141d97ac15622cd
15ce6080c3a1b6
hex65f4d4880aad

112102212111021 has 36 divisors (see below), whose sum is σ = 179617018761180. Its totient is φ = 67317425049600.

The previous prime is 112102212110963. The next prime is 112102212111067. The reversal of 112102212111021 is 120111212201211.

It is a happy number.

112102212111021 is a `hidden beast` number, since 1 + 1 + 210 + 221 + 211 + 1 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45511079516100 + 66591132594921 = 6746190^2 + 8160339^2 .

It is not a de Polignac number, because 112102212111021 - 210 = 112102212109997 is a prime.

It is a super-3 number, since 3×1121022121110213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112102212110985 and 112102212111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102212111091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 472085460 + ... + 472322861.

It is an arithmetic number, because the mean of its divisors is an integer number (4989361632255).

Almost surely, 2112102212111021 is an apocalyptic number.

112102212111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102212111021 is a deficient number, since it is larger than the sum of its proper divisors (67514806650159).

112102212111021 is a wasteful number, since it uses less digits than its factorization.

112102212111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944408458 (or 944408444 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112102212111021 its reverse (120111212201211), we get a palindrome (232213424312232).

The spelling of 112102212111021 in words is "one hundred twelve trillion, one hundred two billion, two hundred twelve million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 9 11 33 99 109 121 327 363 981 1089 1199 3597 10791 13189 39567 118701 944408321 2833224963 8499674889 10388491531 31165474593 93496423779 102940506989 114273406841 308821520967 342820220523 926464562901 1028460661569 1132345576879 3397036730637 10191110191911 12455801345669 37367404037007 112102212111021