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10020323322 = 2331910196697
BaseRepresentation
bin10010101010100000…
…11111111111111010
3221212100000011111000
421111100133333322
5131010200321242
64334150145430
7503212225422
oct112520377772
927770004430
1010020323322
114282236249
121b37952276
13c38c84ac9
146b0b33482
153d9a74a4c
hex25541fffa

10020323322 has 64 divisors (see below), whose sum is σ = 23671670400. Its totient is φ = 3132950400.

The previous prime is 10020323317. The next prime is 10020323329. The reversal of 10020323322 is 22332302001.

It is a happy number.

10020323322 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 323 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10020323295 and 10020323304.

It is not an unprimeable number, because it can be changed into a prime (10020323329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55278 + ... + 151974.

It is an arithmetic number, because the mean of its divisors is an integer number (369869850).

Almost surely, 210020323322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020323322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835835200).

10020323322 is an abundant number, since it is smaller than the sum of its proper divisors (13651347078).

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

10020323322 is a wasteful number, since it uses less digits than its factorization.

10020323322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96828 (or 96822 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10020323322 its reverse (22332302001), we get a palindrome (32352625323).

The spelling of 10020323322 in words is "ten billion, twenty million, three hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 101 114 171 202 303 342 513 606 909 1026 1818 1919 2727 3838 5454 5757 11514 17271 34542 51813 96697 103626 193394 290091 580182 870273 1740546 1837243 2610819 3674486 5221638 5511729 9766397 11023458 16535187 19532794 29299191 33070374 49605561 58598382 87897573 99211122 175795146 185561543 263692719 371123086 527385438 556684629 1113369258 1670053887 3340107774 5010161661 10020323322