Search a number
-
+
102012000021 = 3322916498787
BaseRepresentation
bin101111100000001100…
…0111001011100010101
3100202022101120112102000
41133000120321130111
53132410033000041
6114510315105513
710240644456531
oct1370030713425
9322271515360
10102012000021
113a299129538
121792b742299
1398095c8ab9
144d1a360bc1
1529c0bbcbb6
hex17c0639715

102012000021 has 16 divisors (see below), whose sum is σ = 151788849600. Its totient is φ = 67711017744.

The previous prime is 102012000019. The next prime is 102012000047. The reversal of 102012000021 is 120000210201.

It is not a de Polignac number, because 102012000021 - 21 = 102012000019 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 102011999967 and 102012000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012000721) 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, 8243211 + ... + 8255576.

It is an arithmetic number, because the mean of its divisors is an integer number (9486803100).

Almost surely, 2102012000021 is an apocalyptic number.

It is an amenable number.

102012000021 is a deficient number, since it is larger than the sum of its proper divisors (49776849579).

102012000021 is a wasteful number, since it uses less digits than its factorization.

102012000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16499025 (or 16499019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102012000021 its reverse (120000210201), we get a palindrome (222012210222).

The spelling of 102012000021 in words is "one hundred two billion, twelve million, twenty-one", and thus it is an aban number.

Divisors: 1 3 9 27 229 687 2061 6183 16498787 49496361 148489083 445467249 3778222223 11334666669 34004000007 102012000021