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233120132322 = 237111014995931
BaseRepresentation
bin1101100100011100001…
…0101110110011100010
3211021201112122201202220
43121013002232303202
512304412223213242
6255032141251510
722561635300360
oct3310702566342
9737645581686
10233120132322
118a958267890
123921b563b96
1318ca1c3a9cc
14b3d6a84630
1560e5e71bec
hex36470aece2

233120132322 has 64 divisors (see below), whose sum is σ = 587041993728. Its totient is φ = 59951160000.

The previous prime is 233120132317. The next prime is 233120132327. The reversal of 233120132322 is 223231021332.

233120132322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233120132317) and next prime (233120132327).

It is a super-2 number, since 2×2331201323222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233120132292 and 233120132301.

It is not an unprimeable number, because it can be changed into a prime (233120132327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2451304 + ... + 2544627.

It is an arithmetic number, because the mean of its divisors is an integer number (9172531152).

Almost surely, 2233120132322 is an apocalyptic number.

233120132322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

233120132322 is an abundant number, since it is smaller than the sum of its proper divisors (353921861406).

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

233120132322 is a wasteful number, since it uses less digits than its factorization.

233120132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996055.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233120132322 its reverse (223231021332), we get a palindrome (456351153654).

The spelling of 233120132322 in words is "two hundred thirty-three billion, one hundred twenty million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 1111 1414 2121 2222 3333 4242 6666 7777 15554 23331 46662 4995931 9991862 14987793 29975586 34971517 54955241 69943034 104914551 109910482 164865723 209829102 329731446 384686687 504589031 769373374 1009178062 1154060061 1513767093 2308120122 3027534186 3532123217 5550479341 7064246434 10596369651 11100958682 16651438023 21192739302 33302876046 38853355387 77706710774 116560066161 233120132322