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123011020311001 = 2957011200761967
BaseRepresentation
bin11011111110000010111100…
…001010110100100111011001
3121010112201221111201010002021
4123332002330022310213121
5112110403032144423001
61113342252123534441
734624152520426654
oct3376027412644731
9533481844633067
10123011020311001
1136216754090729
121196843998a421
135383b74146054
142253a9d80289b
15e34beb5ebba1
hex6fe0bc2b49d9

123011020311001 has 16 divisors (see below), whose sum is σ = 127287754928640. Its totient is φ = 118736621841600.

The previous prime is 123011020310989. The next prime is 123011020311013. The reversal of 123011020311001 is 100113020110321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123011020310989) and next prime (123011020311013).

It is not a de Polignac number, because 123011020311001 - 213 = 123011020302809 is a prime.

It is a super-3 number, since 3×1230110203110013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123011020311401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1985074320 + ... + 1985136286.

It is an arithmetic number, because the mean of its divisors is an integer number (7955484683040).

Almost surely, 2123011020311001 is an apocalyptic number.

It is an amenable number.

123011020311001 is a deficient number, since it is larger than the sum of its proper divisors (4276734617639).

123011020311001 is a wasteful number, since it uses less digits than its factorization.

123011020311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79704.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 123011020311001 its reverse (100113020110321), we get a palindrome (223124040421322).

The spelling of 123011020311001 in words is "one hundred twenty-three trillion, eleven billion, twenty million, three hundred eleven thousand, one".

Divisors: 1 29 5701 12007 61967 165329 348203 1797043 68451907 353273867 744037769 1985105303 10244942143 21577095301 4241759321069 123011020311001