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202121212122 = 232172386927673
BaseRepresentation
bin1011110000111101011…
…1001111000011011010
3201022201011201102111100
42330033113033003122
511302421012241442
6232504143012230
720413515645624
oct2741727170332
9638634642440
10202121212122
11787a0178275
1233209b9a076
13160a192608b
149ad5acdc14
1553ce7cb84c
hex2f0f5cf0da

202121212122 has 48 divisors (see below), whose sum is σ = 463726022760. Its totient is φ = 63405628416.

The previous prime is 202121212121. The next prime is 202121212129. The reversal of 202121212122 is 221212121202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 165444749001 + 36676463121 = 406749^2 + 191511^2 .

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 = 202121212095 and 202121212104.

It is not an unprimeable number, because it can be changed into a prime (202121212121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7290078 + ... + 7317750.

Almost surely, 2202121212122 is an apocalyptic number.

202121212122 is an abundant number, since it is smaller than the sum of its proper divisors (261604810638).

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

202121212122 is a wasteful number, since it uses less digits than its factorization.

202121212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51567 (or 51564 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202121212122 its reverse (221212121202), we get a palindrome (423333333324).

The spelling of 202121212122 in words is "two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 23869 27673 47738 55346 71607 83019 143214 166038 214821 249057 405773 429642 470441 498114 811546 940882 1217319 1411323 2434638 2822646 3651957 4233969 7303914 8467938 660526837 1321053674 1981580511 3963161022 5944741533 11228956229 11889483066 22457912458 33686868687 67373737374 101060606061 202121212122