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10102221233 = 1334598189
BaseRepresentation
bin10010110100010001…
…11010100110110001
3222002001010000021222
421122020322212301
5131142132034413
64350233354425
7505225315016
oct113210724661
928061100258
1010102221233
114314493375
121b5b268a15
13c4cc2b000
146bb97170d
153e1d50b08
hex25a23a9b1

10102221233 has 8 divisors (see below), whose sum is σ = 10943692200. Its totient is φ = 9325125264.

The previous prime is 10102221221. The next prime is 10102221257. The reversal of 10102221233 is 33212220101.

It can be written as a sum of positive squares in 4 ways, for example, as 5454117904 + 4648103329 = 73852^2 + 68177^2 .

It is not a de Polignac number, because 10102221233 - 216 = 10102155697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102221203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2296898 + ... + 2301291.

It is an arithmetic number, because the mean of its divisors is an integer number (1367961525).

Almost surely, 210102221233 is an apocalyptic number.

10102221233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102221233 is a deficient number, since it is larger than the sum of its proper divisors (841470967).

10102221233 is an frugal number, since it uses more digits than its factorization.

10102221233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598228 (or 4598202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10102221233 its reverse (33212220101), we get a palindrome (43314441334).

The spelling of 10102221233 in words is "ten billion, one hundred two million, two hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 13 169 2197 4598189 59776457 777093941 10102221233