Search a number
-
+
233310123012132 = 223310919819072631
BaseRepresentation
bin110101000011000110111111…
…000000010011000000100100
31010121002020012121202102022000
4311003012333000103000210
5221040023112442342012
62144113105120405300
7100100046226253415
oct6503067700230044
91117066177672260
10233310123012132
11683812a4070201
1222201094176830
13a02508638701a
1441883ad62d80c
151be8de9826ddc
hexd431bf013024

233310123012132 has 48 divisors (see below), whose sum is σ = 610427437065600. Its totient is φ = 77056554385440.

The previous prime is 233310123012119. The next prime is 233310123012179. The reversal of 233310123012132 is 231210321013332.

233310123012132 is a `hidden beast` number, since 2 + 3 + 3 + 310 + 12 + 301 + 2 + 1 + 32 = 666.

It is a super-2 number, since 2×2333101230121322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233310123012096 and 233310123012105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9909524544 + ... + 9909548087.

It is an arithmetic number, because the mean of its divisors is an integer number (12717238272200).

Almost surely, 2233310123012132 is an apocalyptic number.

It is an amenable number.

233310123012132 is an abundant number, since it is smaller than the sum of its proper divisors (377117314053468).

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

233310123012132 is a wasteful number, since it uses less digits than its factorization.

233310123012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19819072753 (or 19819072745 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 233310123012132 its reverse (231210321013332), we get a palindrome (464520444025464).

The spelling of 233310123012132 in words is "two hundred thirty-three trillion, three hundred ten billion, one hundred twenty-three million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 11772 19819072631 39638145262 59457217893 79276290524 118914435786 178371653679 237828871572 356743307358 535114961037 713486614716 1070229922074 2140459844148 2160278916779 4320557833558 6480836750337 8641115667116 12961673500674 19442510251011 25923347001348 38885020502022 58327530753033 77770041004044 116655061506066 233310123012132