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123033001010331 = 3418935331838441
BaseRepresentation
bin11011111110010111011010…
…010100100010010010011011
3121010121211200101021100000110
4123332113122110202102123
5112111233041224312311
61113400325210335403
734625561313331326
oct3376273224422233
9533554611240013
10123033001010331
1136225003674445
121197075312a563
135385c67c9b009
142254b86b9b7bd
15e355861b68a6
hex6fe5da52249b

123033001010331 has 32 divisors (see below), whose sum is σ = 170414624036160. Its totient is φ = 78898201395200.

The previous prime is 123033001010303. The next prime is 123033001010419. The reversal of 123033001010331 is 133010100330321.

It is a cyclic number.

It is not a de Polignac number, because 123033001010331 - 217 = 123033000879259 is a prime.

It is a super-2 number, since 2×1230330010103312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123033001010298 and 123033001010307.

It is not an unprimeable number, because it can be changed into a prime (123033001010131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12054930 + ... + 19783511.

It is an arithmetic number, because the mean of its divisors is an integer number (5325457001130).

Almost surely, 2123033001010331 is an apocalyptic number.

123033001010331 is a deficient number, since it is larger than the sum of its proper divisors (47381623025829).

123033001010331 is a wasteful number, since it uses less digits than its factorization.

123033001010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31838927.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 123033001010331 its reverse (133010100330321), we get a palindrome (256043101340652).

The spelling of 123033001010331 in words is "one hundred twenty-three trillion, thirty-three billion, one million, ten thousand, three hundred thirty-one".

Divisors: 1 3 41 89 123 267 353 1059 3649 10947 14473 31417 43419 94251 1288097 3864291 31838441 95515323 1305376081 2833621249 3916128243 8500863747 11238969673 33716909019 116178471209 348535413627 460797756593 1000268300897 1382393269779 3000804902691 41011000336777 123033001010331