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123332202042 = 23723263587827
BaseRepresentation
bin111001011011100101…
…1000000111000111010
3102210100020022000100220
41302313023000320322
54010041020431132
6132354045040510
711624200264110
oct1626713007072
9383306260326
10123332202042
11483398a3905
121ba9b856136
13b826662a5a
145d7db05ab0
15331c7b9a2c
hex1cb72c0e3a

123332202042 has 128 divisors (see below), whose sum is σ = 296137949184. Its totient is φ = 33479802048.

The previous prime is 123332202041. The next prime is 123332202053. The reversal of 123332202042 is 240202233321.

It is not an unprimeable number, because it can be changed into a prime (123332202041) 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 63 ways as a sum of consecutive naturals, for example, 149131633 + ... + 149132459.

It is an arithmetic number, because the mean of its divisors is an integer number (2313577728).

Almost surely, 2123332202042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123332202042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148068974592).

123332202042 is an abundant number, since it is smaller than the sum of its proper divisors (172805747142).

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

123332202042 is a wasteful number, since it uses less digits than its factorization.

123332202042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 123332202042 its reverse (240202233321), we get a palindrome (363534435363).

The spelling of 123332202042 in words is "one hundred twenty-three billion, three hundred thirty-two million, two hundred two thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 263 322 483 526 587 789 827 966 1174 1578 1654 1761 1841 2481 3522 3682 4109 4962 5523 5789 6049 8218 11046 11578 12098 12327 13501 17367 18147 19021 24654 27002 34734 36294 38042 40503 42343 57063 81006 84686 94507 114126 127029 133147 154381 189014 217501 254058 266294 283521 308762 399441 435002 463143 485449 567042 652503 798882 926286 970898 1080667 1305006 1456347 1522507 2161334 2912694 3045014 3242001 3398143 3550763 4567521 5002523 6484002 6796286 7101526 9135042 10005046 10194429 10652289 11165327 15007569 20388858 21304578 22330654 24855341 30015138 33495981 35017661 49710682 66991962 70035322 74566023 78157289 105052983 127673087 149132046 156314578 210105966 234471867 255346174 383019261 468943734 766038522 893711609 1787423218 2681134827 2936481001 5362269654 5872962002 8809443003 17618886006 20555367007 41110734014 61666101021 123332202042