Search a number
-
+
221221210212120 = 23358990572050493
BaseRepresentation
bin110010010011001100010011…
…101001101100011100011000
31002000021112121111120002101110
4302103030103221230130120
5212443442014303241440
62102255342044420320
764411463550016536
oct6223142351543430
91060245544502343
10221221210212120
116454042aa377a8
122098a19b8476a0
1396590bc193991
143c8b2412bd156
151a89710c33080
hexc93313a6c718

221221210212120 has 64 divisors (see below), whose sum is σ = 663664692474720. Its totient is φ = 58992228337664.

The previous prime is 221221210212077. The next prime is 221221210212127. The reversal of 221221210212120 is 21212012122122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221210212127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106861594 + ... + 108912086.

Almost surely, 2221221210212120 is an apocalyptic number.

221221210212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221210212120 is an abundant number, since it is smaller than the sum of its proper divisors (442443482262600).

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

221221210212120 is a wasteful number, since it uses less digits than its factorization.

221221210212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949564 (or 2949560 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221221210212120 its reverse (21212012122122), we get a palindrome (242433222334242).

The spelling of 221221210212120 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 899057 1798114 2050493 2697171 3596228 4100986 4495285 5394342 6151479 7192456 8201972 8990570 10252465 10788684 12302958 13485855 16403944 17981140 20504930 21577368 24605916 26971710 30757395 35962280 41009860 49211832 53943420 61514790 82019720 107886840 123029580 246059160 1843510085101 3687020170202 5530530255303 7374040340404 9217550425505 11061060510606 14748080680808 18435100851010 22122121021212 27652651276515 36870201702020 44244242042424 55305302553030 73740403404040 110610605106060 221221210212120