Search a number
-
+
102023200013322 = 237171286031111091
BaseRepresentation
bin10111001100101000100000…
…100110000111110000001010
3111101020022201020002011112110
4113030220200212013300022
5101333022003200411242
61000552451104323150
730326635001411160
oct2714504046076012
9441208636064473
10102023200013322
112a564883739395
12b5389433134b6
1344c0992029843
141b29d40977230
15bbdcce41a39c
hex5cca20987c0a

102023200013322 has 64 divisors (see below), whose sum is σ = 246915432981504. Its totient is φ = 27434572066560.

The previous prime is 102023200013303. The next prime is 102023200013389. The reversal of 102023200013322 is 223310002320201.

It is a happy number.

It is a super-2 number, since 2×1020232000133222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91266997 + ... + 92378087.

It is an arithmetic number, because the mean of its divisors is an integer number (3858053640336).

Almost surely, 2102023200013322 is an apocalyptic number.

102023200013322 is an abundant number, since it is smaller than the sum of its proper divisors (144892232968182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102023200013322 is a wasteful number, since it uses less digits than its factorization.

102023200013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239723.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102023200013322 its reverse (223310002320201), we get a palindrome (325333202333523).

The spelling of 102023200013322 in words is "one hundred two trillion, twenty-three billion, two hundred million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 128603 257206 385809 771618 900221 1111091 1800442 2186251 2222182 2700663 3333273 4372502 5401326 6558753 6666546 7777637 13117506 15303757 15555274 18888547 23332911 30607514 37777094 45911271 46665822 56665641 91822542 113331282 132219829 264439658 396659487 793318974 142889635873 285779271746 428668907619 857337815238 1000227451111 2000454902222 2429123809841 3000682353333 4858247619682 6001364706666 7287371429523 14574742859046 17003866668887 34007733337774 51011600006661 102023200013322