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20231414001 = 3237671974603
BaseRepresentation
bin10010110101111000…
…101110000011110001
31221012221222022120200
4102311320232003301
5312413220222001
613143313225413
71314232116201
oct226570560361
957187868520
1020231414001
118642118867
123b07562269
131ba56106b6
14d9cd24401
157d622d086
hex4b5e2e0f1

20231414001 has 48 divisors (see below), whose sum is σ = 30622198464. Its totient is φ = 12858797952.

The previous prime is 20231413991. The next prime is 20231414011. The reversal of 20231414001 is 10041413202.

20231414001 is a `hidden beast` number, since 20 + 231 + 414 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20231413991) and next prime (20231414011).

It is not a de Polignac number, because 20231414001 - 213 = 20231405809 is a prime.

It is a super-2 number, since 2×202314140012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20231414011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4392966 + ... + 4397568.

It is an arithmetic number, because the mean of its divisors is an integer number (637962468).

Almost surely, 220231414001 is an apocalyptic number.

It is an amenable number.

20231414001 is a deficient number, since it is larger than the sum of its proper divisors (10390784463).

20231414001 is a wasteful number, since it uses less digits than its factorization.

20231414001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20231414001 its reverse (10041413202), we get a palindrome (30272827203).

The spelling of 20231414001 in words is "twenty billion, two hundred thirty-one million, four hundred fourteen thousand, one".

Divisors: 1 3 9 37 67 111 197 201 333 591 603 1773 2479 4603 7289 7437 13199 13809 21867 22311 39597 41427 65601 118791 170311 308401 488363 510933 906791 925203 1465089 1532799 2720373 2775609 4395267 8161119 11410837 33551267 34232511 60754997 100653801 102697533 182264991 301961403 546794973 2247934889 6743804667 20231414001