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23133333311232 = 283173591735211
BaseRepresentation
bin1010100001010001001100…
…00111010100111100000000
310000220112011202212210010020
411100220212013110330000
511013004031311424412
6121111150121133440
74605220364514624
oct520504607247400
9100815152783106
1023133333311232
117409878629a11
12271748a62a280
13cba605461971
1459d9331cb184
152a1b3edc118c
hex150a261d4f00

23133333311232 has 72 divisors (see below), whose sum is σ = 61571984974080. Its totient is φ = 7710662446080.

The previous prime is 23133333311213. The next prime is 23133333311251. The reversal of 23133333311232 is 23211333333132.

It is an interprime number because it is at equal distance from previous prime (23133333311213) and next prime (23133333311251).

It is a super-3 number, since 3×231333333112323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23133333311193 and 23133333311202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12464107 + ... + 14199317.

Almost surely, 223133333311232 is an apocalyptic number.

It is an amenable number.

23133333311232 is an abundant number, since it is smaller than the sum of its proper divisors (38438651662848).

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

23133333311232 is a wasteful number, since it uses less digits than its factorization.

23133333311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752589 (or 1752575 counting only the distinct ones).

The product of its digits is 52488, while the sum is 33.

Adding to 23133333311232 its reverse (23211333333132), we get a palindrome (46344666644364).

The spelling of 23133333311232 in words is "twenty-three trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 17359 34718 52077 69436 104154 138872 208308 277744 416616 555488 833232 1110976 1666464 1735211 2221952 3332928 3470422 4443904 5205633 6665856 6940844 10411266 13331712 13881688 20822532 27763376 41645064 55526752 83290128 111053504 166580256 222107008 333160512 444214016 666321024 1332642048 30121527749 60243055498 90364583247 120486110996 180729166494 240972221992 361458332988 481944443984 722916665976 963888887968 1445833331952 1927777775936 2891666663904 3855555551872 5783333327808 7711111103744 11566666655616 23133333311232