Search a number
-
+
12301001110332 = 22331110354378039
BaseRepresentation
bin1011001100000000110011…
…0011010011001100111100
31121112222000220202210202000
42303000030303103030330
53103014422241012312
642055000224302300
72406501163152024
oct263001463231474
947488026683660
1012301001110332
113a12909493110
121468024471990
136b2c96a56b6c
1430752ba7aa84
15164e9d42eadc
hexb300ccd333c

12301001110332 has 48 divisors (see below), whose sum is σ = 34790710214400. Its totient is φ = 3727576093680.

The previous prime is 12301001110297. The next prime is 12301001110367. The reversal of 12301001110332 is 23301110010321.

12301001110332 is a `hidden beast` number, since 1 + 230 + 100 + 1 + 1 + 1 + 0 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (12301001110297) and next prime (12301001110367).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5177187832 + ... + 5177190207.

It is an arithmetic number, because the mean of its divisors is an integer number (724806462800).

Almost surely, 212301001110332 is an apocalyptic number.

12301001110332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12301001110332 is an abundant number, since it is smaller than the sum of its proper divisors (22489709104068).

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

12301001110332 is a wasteful number, since it uses less digits than its factorization.

12301001110332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10354378063 (or 10354378055 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12301001110332 its reverse (23301110010321), we get a palindrome (35602111120653).

It can be divided in two parts, 1230100 and 1110332, that added together give a palindrome (2340432).

The spelling of 12301001110332 in words is "twelve trillion, three hundred one billion, one million, one hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 10354378039 20708756078 31063134117 41417512156 62126268234 93189402351 113898158429 124252536468 186378804702 227796316858 279568207053 341694475287 372757609404 455592633716 559136414106 683388950574 1025083425861 1118272828212 1366777901148 2050166851722 3075250277583 4100333703444 6150500555166 12301001110332