Search a number
-
+
23132333323132 = 221117113273677693
BaseRepresentation
bin1010100001001111010101…
…00000101011001101111100
310000220102121002020010022221
411100213222200223031330
511013000004312320012
6121110503000015124
74605153532663465
oct520475240531574
9100812532203287
1023132333323132
117409405114070
12271724b7614a4
13cba4a622a027
1459d87a483d6c
152a1ad21e3507
hex1509ea82b37c

23132333323132 has 48 divisors (see below), whose sum is σ = 47173276759392. Its totient is φ = 9808608481280.

The previous prime is 23132333323117. The next prime is 23132333323133.

23132333323132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132333323133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136754323 + ... + 136923370.

It is an arithmetic number, because the mean of its divisors is an integer number (982776599154).

Almost surely, 223132333323132 is an apocalyptic number.

23132333323132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23132333323132 is an abundant number, since it is smaller than the sum of its proper divisors (24040943436260).

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

23132333323132 is a wasteful number, since it uses less digits than its factorization.

23132333323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273677838 (or 273677836 counting only the distinct ones).

The product of its digits is 104976, while the sum is 34.

It can be divided in two parts, 2313233 and 3323132, that added together give a palindrome (5636365).

The spelling of 23132333323132 in words is "twenty-three trillion, one hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 113 187 226 374 452 748 1243 1921 2486 3842 4972 7684 21131 42262 84524 273677693 547355386 1094710772 3010454623 4652520781 6020909246 9305041562 12041818492 18610083124 30925579309 51177728591 61851158618 102355457182 123702317236 204710914364 340181372399 525734848253 680362744798 1051469696506 1360725489596 2102939393012 5783083330783 11566166661566 23132333323132