Search a number
-
+
23002100001 = 324766182267
BaseRepresentation
bin10101011011000010…
…000011000100100001
32012101001111202020200
4111123002003010201
5334102014200001
614322250455413
71443004424016
oct253302030441
965331452220
1023002100001
1198340a4201
12455b434569
132227645c7a
141182cb770d
158e95c7086
hex55b083121

23002100001 has 24 divisors (see below), whose sum is σ = 33983923584. Its totient is φ = 14985574560.

The previous prime is 23002099997. The next prime is 23002100021. The reversal of 23002100001 is 10000120032.

It is a happy number.

It is not a de Polignac number, because 23002100001 - 22 = 23002099997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (23002100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238470 + ... + 320736.

It is an arithmetic number, because the mean of its divisors is an integer number (1415996816).

Almost surely, 223002100001 is an apocalyptic number.

It is an amenable number.

23002100001 is a deficient number, since it is larger than the sum of its proper divisors (10981823583).

23002100001 is a wasteful number, since it uses less digits than its factorization.

23002100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82981 (or 82978 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 23002100001 its reverse (10000120032), we get a palindrome (33002220033).

The spelling of 23002100001 in words is "twenty-three billion, two million, one hundred thousand, one".

Divisors: 1 3 9 47 141 423 661 1983 5949 31067 82267 93201 246801 279603 740403 3866549 11599647 34798941 54378487 163135461 489406383 2555788889 7667366667 23002100001