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10121922 = 23559353
BaseRepresentation
bin100110100111…
…001011000010
3201001020200000
4212213023002
510042400142
61000540430
7152014656
oct46471302
921036600
1010121922
115793828
123481716
132135205
1414b6a66
15d4e14c
hex9a72c2

10121922 has 48 divisors (see below), whose sum is σ = 23194080. Its totient is φ = 3307392.

The previous prime is 10121921. The next prime is 10121939. The reversal of 10121922 is 22912101.

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 = 10121895 and 10121904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28498 + ... + 28850.

It is an arithmetic number, because the mean of its divisors is an integer number (483210).

Almost surely, 210121922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597040).

10121922 is an abundant number, since it is smaller than the sum of its proper divisors (13072158).

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

10121922 is an equidigital number, since it uses as much as digits as its factorization.

10121922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10121922 is about 3181.4968175373. The cubic root of 10121922 is about 216.3155111308.

It can be divided in two parts, 101 and 21922, that multiplied together give a palindrome (2214122).

The spelling of 10121922 in words is "ten million, one hundred twenty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 353 354 486 531 706 1059 1062 1593 2118 3177 3186 4779 6354 9531 9558 14337 19062 20827 28593 28674 41654 57186 62481 85779 124962 171558 187443 374886 562329 1124658 1686987 3373974 5060961 10121922