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20122122195 = 335723041893
BaseRepresentation
bin10010101111010111…
…110011011111010011
31220221100022201102000
4102233113303133103
5312202230402240
613124410525043
71311434134200
oct225727633723
956840281360
1020122122195
11859646025a
123a96a36783
131b88a957a6
14d8c5d4ca7
157cb840430
hex4af5f37d3

20122122195 has 48 divisors (see below), whose sum is σ = 41613109920. Its totient is φ = 9198681408.

The previous prime is 20122122193. The next prime is 20122122211. The reversal of 20122122195 is 59122122102.

It is a happy number.

It is not a de Polignac number, because 20122122195 - 21 = 20122122193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20122122193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1514332 + ... + 1527561.

It is an arithmetic number, because the mean of its divisors is an integer number (866939790).

Almost surely, 220122122195 is an apocalyptic number.

20122122195 is an abundant number, since it is smaller than the sum of its proper divisors (21490987725).

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

20122122195 is a wasteful number, since it uses less digits than its factorization.

20122122195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041921 (or 3041908 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 20122122195 its reverse (59122122102), we get a palindrome (79244244297).

The spelling of 20122122195 in words is "twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 3041893 9125679 15209465 21293251 27377037 45628395 63879753 82131111 106466255 136885185 149052757 191639259 319398765 410655555 447158271 574917777 745263785 958196295 1341474813 2235791355 2874588885 4024424439 6707374065 20122122195