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101322122420 = 2257436818447
BaseRepresentation
bin101111001011101000…
…1001110010010110100
3100200112022110010020202
41132113101032102310
53130001430404140
6114314032420032
710214566554551
oct1362721162264
9320468403222
10101322122420
1139a74773262
12177786a7618
1397296c1bbc
144c9289da28
152980349915
hex179744e4b4

101322122420 has 24 divisors (see below), whose sum is σ = 213062863104. Its totient is φ = 40474295456.

The previous prime is 101322122389. The next prime is 101322122423. The reversal of 101322122420 is 24221223101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101322122392 and 101322122401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322122423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3394364 + ... + 3424083.

It is an arithmetic number, because the mean of its divisors is an integer number (8877619296).

Almost surely, 2101322122420 is an apocalyptic number.

101322122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322122420 is an abundant number, since it is smaller than the sum of its proper divisors (111740740684).

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

101322122420 is a wasteful number, since it uses less digits than its factorization.

101322122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819199 (or 6819197 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101322122420 its reverse (24221223101), we get a palindrome (125543345521).

The spelling of 101322122420 in words is "one hundred one billion, three hundred twenty-two million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 743 1486 2972 3715 7430 14860 6818447 13636894 27273788 34092235 68184470 136368940 5066106121 10132212242 20264424484 25330530605 50661061210 101322122420