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231133103103312 = 243214910772422777
BaseRepresentation
bin110100100011011011011110…
…100000011001110101010000
31010022101002221100201110122200
4310203123132200121311100
5220243341043343301222
62135325025352403200
766453546522331614
oct6443333640316520
91108332840643580
10231133103103312
1167711aa908a913
1221b0b1886a6500
139bc79b1711b97
144110c8aa87344
151bac480aa0eac
hexd236de819d50

231133103103312 has 60 divisors (see below), whose sum is σ = 651192956930100. Its totient is φ = 76527291400704.

The previous prime is 231133103103299. The next prime is 231133103103349. The reversal of 231133103103312 is 213301301331132.

231133103103312 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 3 + 3 + 10 + 310 + 331 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154041261304896 + 77091841798416 = 12411336^2 + 8780196^2 .

It is a super-2 number, since 2×2311331031033122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5386189933 + ... + 5386232844.

It is an arithmetic number, because the mean of its divisors is an integer number (10853215948835).

Almost surely, 2231133103103312 is an apocalyptic number.

It is an amenable number.

231133103103312 is an abundant number, since it is smaller than the sum of its proper divisors (420059853826788).

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

231133103103312 is a wasteful number, since it uses less digits than its factorization.

231133103103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772422940 (or 10772422931 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 231133103103312 its reverse (213301301331132), we get a palindrome (444434404434444).

The spelling of 231133103103312 in words is "two hundred thirty-one trillion, one hundred thirty-three billion, one hundred three million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 10772422777 21544845554 32317268331 43089691108 64634536662 86179382216 96951804993 129269073324 172358764432 193903609986 258538146648 387807219972 517076293296 775614439944 1551228879888 1605090993773 3210181987546 4815272981319 6420363975092 9630545962638 12840727950184 14445818943957 19261091925276 25681455900368 28891637887914 38522183850552 57783275775828 77044367701104 115566551551656 231133103103312