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202100123212331 = 23311272231892781
BaseRepresentation
bin101101111100111100011010…
…000011011001101000101011
3222111120120202001222002022212
4231330330122003121220223
5202442202023020243311
61553455303114235335
760366152312141651
oct5574743203315053
9874516661862285
10202100123212331
11594391a98a5503
121a800436425b4b
13889cc62a12a96
1437c99aba48dd1
15185714bee3c8b
hexb7cf1a0d9a2b

202100123212331 has 16 divisors (see below), whose sum is σ = 219403988041728. Its totient is φ = 185604203584800.

The previous prime is 202100123212327. The next prime is 202100123212439. The reversal of 202100123212331 is 133212321001202.

It is a cyclic number.

It is not a de Polignac number, because 202100123212331 - 22 = 202100123212327 is a prime.

It is a super-2 number, since 2×2021001232123312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202100123212297 and 202100123212306.

It is not an unprimeable number, because it can be changed into a prime (202100123214331) 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, 1115855840 + ... + 1116036941.

It is an arithmetic number, because the mean of its divisors is an integer number (13712749252608).

Almost surely, 2202100123212331 is an apocalyptic number.

202100123212331 is a deficient number, since it is larger than the sum of its proper divisors (17303864829397).

202100123212331 is a wasteful number, since it uses less digits than its factorization.

202100123212331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231892962.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 202100123212331 its reverse (133212321001202), we get a palindrome (335312444213533).

The spelling of 202100123212331 in words is "two hundred two trillion, one hundred billion, one hundred twenty-three million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 23 31 127 713 2921 3937 90551 2231892781 51333533963 69188676211 283450383187 1591339552853 6519358813301 8786961878797 202100123212331