Search a number
-
+
123342332032133 = 2937193907656671
BaseRepresentation
bin11100000010110111011111…
…111000101111010010000101
3121011201102010012011101022122
4130002313133320233102011
5112131320044000012013
61114154403551535325
734660121653540124
oct3402673770572205
9534642105141278
10123342332032133
11363342099a4505
1211a006a152a545
1353a9194019aa6
142265b2d281abb
15e3d63cb3ca08
hex702ddfe2f485

123342332032133 has 32 divisors (see below), whose sum is σ = 131868458204160. Its totient is φ = 115142892318720.

The previous prime is 123342332032121. The next prime is 123342332032151. The reversal of 123342332032133 is 331230233243321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123342332032133 - 212 = 123342332028037 is a prime.

It is a super-2 number, since 2×1233423320321332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123342332032093 and 123342332032102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123342332032193) 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, 187501388 + ... + 188158058.

It is an arithmetic number, because the mean of its divisors is an integer number (4120889318880).

Almost surely, 2123342332032133 is an apocalyptic number.

It is an amenable number.

123342332032133 is a deficient number, since it is larger than the sum of its proper divisors (8526126172027).

123342332032133 is a wasteful number, since it uses less digits than its factorization.

123342332032133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657837.

The product of its (nonzero) digits is 139968, while the sum is 35.

Adding to 123342332032133 its reverse (331230233243321), we get a palindrome (454572565275454).

The spelling of 123342332032133 in words is "one hundred twenty-three trillion, three hundred forty-two billion, three hundred thirty-two million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 29 37 193 907 1073 5597 7141 26303 33559 175051 207089 656671 973211 5076479 6476887 19043459 24296827 126737503 187829723 595600597 704607983 3675387587 4689287611 17272417313 22037222089 114950915221 135989340719 639079440581 3333576541409 4253183863177 123342332032133