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2023122011301 = 33159617469439
BaseRepresentation
bin11101011100001011011…
…110000000010010100101
321011102000211222201121000
4131130023132000102211
5231121323213330201
64145224233543513
7266110564233516
oct35341336002245
97142024881530
102023122011301
117100016a6136
12288117574b99
13118a199a2a71
146dcc365ca0d
153795cd8dd86
hex1d70b7804a5

2023122011301 has 16 divisors (see below), whose sum is σ = 2997242956800. Its totient is φ = 1348736684544.

The previous prime is 2023122011293. The next prime is 2023122011311. The reversal of 2023122011301 is 1031102213202.

2023122011301 is a `hidden beast` number, since 20 + 2 + 312 + 20 + 11 + 301 = 666.

It is not a de Polignac number, because 2023122011301 - 23 = 2023122011293 is a prime.

It is a super-2 number, since 2×20231220113012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023122011311) 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 15 ways as a sum of consecutive naturals, for example, 4074940 + ... + 4544378.

It is an arithmetic number, because the mean of its divisors is an integer number (187327684800).

Almost surely, 22023122011301 is an apocalyptic number.

It is an amenable number.

2023122011301 is a deficient number, since it is larger than the sum of its proper divisors (974120945499).

2023122011301 is a wasteful number, since it uses less digits than its factorization.

2023122011301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629065 (or 629059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2023122011301 its reverse (1031102213202), we get a palindrome (3054224224503).

The spelling of 2023122011301 in words is "two trillion, twenty-three billion, one hundred twenty-two million, eleven thousand, three hundred one".

Divisors: 1 3 9 27 159617 469439 478851 1408317 1436553 4224951 4309659 12674853 74930444863 224791334589 674374003767 2023122011301