Search a number
-
+
1022112202100 = 225211929192911
BaseRepresentation
bin11101101111110101010…
…00100111110101110100
310121201020202102200022012
432313322220213311310
5113221241210431400
62101315111423352
7133562615240363
oct16677250476564
93551222380265
101022112202100
11364525767690
12146113384b58
13755004442b2
14376830737da
151b8c2b59d35
hexedfaa27d74

1022112202100 has 36 divisors (see below), whose sum is σ = 2419618342848. Its totient is φ = 371677164000.

The previous prime is 1022112202091. The next prime is 1022112202127. The reversal of 1022112202100 is 12022112201.

It is a super-2 number, since 2×10221122021002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464595356 + ... + 464597555.

Almost surely, 21022112202100 is an apocalyptic number.

1022112202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022112202100 is an abundant number, since it is smaller than the sum of its proper divisors (1397506140748).

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

1022112202100 is a wasteful number, since it uses less digits than its factorization.

1022112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929192936 (or 929192929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022112202100 its reverse (12022112201), we get a palindrome (1034134314301).

The spelling of 1022112202100 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 929192911 1858385822 3716771644 4645964555 9291929110 10221122021 18583858220 20442244042 23229822775 40884488084 46459645550 51105610105 92919291100 102211220210 204422440420 255528050525 511056101050 1022112202100