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123020331013333 = 1397383361770423
BaseRepresentation
bin11011111110001011100111…
…001000010101010011010101
3121010120121222101102210120101
4123332023213020111103111
5112111031114214411313
61113350432044334101
734624632325203505
oct3376134710252325
9533517871383511
10123020331013333
113621a6a17a6146
121196a1b7b44331
1353849c90a0580
1422543041b5a05
15e35093bed5dd
hex6fe2e72154d5

123020331013333 has 32 divisors (see below), whose sum is σ = 134237726171136. Its totient is φ = 112060516220928.

The previous prime is 123020331013297. The next prime is 123020331013337. The reversal of 123020331013333 is 333310133020321.

It is not a de Polignac number, because 123020331013333 - 217 = 123020330882261 is a prime.

It is a super-2 number, since 2×1230203310133332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020331013337) 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, 1746841960 + ... + 1746912382.

It is an arithmetic number, because the mean of its divisors is an integer number (4194928942848).

Almost surely, 2123020331013333 is an apocalyptic number.

123020331013333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123020331013333 is a deficient number, since it is larger than the sum of its proper divisors (11217395157803).

123020331013333 is a wasteful number, since it uses less digits than its factorization.

123020331013333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74533.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 123020331013333 its reverse (333310133020321), we get a palindrome (456330464033654).

The spelling of 123020331013333 in words is "one hundred twenty-three trillion, twenty billion, three hundred thirty-one million, thirteen thousand, three hundred thirty-three".

Divisors: 1 13 97 383 1261 3617 4979 37151 47021 70423 350849 482963 915499 1385311 4561037 6831031 18009043 26972009 88803403 134375167 254719991 350636117 1746877171 2616284873 3311359883 24707839127 34011703349 97557756553 321201908651 1268250835189 9463102385641 123020331013333