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1022112201100 = 225214876873653
BaseRepresentation
bin11101101111110101010…
…00100111100110001100
310121201020202102121221011
432313322220213212030
5113221241210413400
62101315111415004
7133562615234434
oct16677250474614
93551222377834
101022112201100
11364525766961
12146113384464
13755004439c3
14376830732c4
151b8c2b598ba
hexedfaa2798c

1022112201100 has 36 divisors (see below), whose sum is σ = 2219475381984. Its totient is φ = 408569874880.

The previous prime is 1022112201079. The next prime is 1022112201101. The reversal of 1022112201100 is 11022112201.

It is not an unprimeable number, because it can be changed into a prime (1022112201101) 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 11 ways as a sum of consecutive naturals, for example, 3288127 + ... + 3585526.

It is an arithmetic number, because the mean of its divisors is an integer number (61652093944).

Almost surely, 21022112201100 is an apocalyptic number.

1022112201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022112201100 is an abundant number, since it is smaller than the sum of its proper divisors (1197363180884).

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

1022112201100 is a wasteful number, since it uses less digits than its factorization.

1022112201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875154 (or 6875147 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022112201100 its reverse (11022112201), we get a palindrome (1033134313301).

The spelling of 1022112201100 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1487 2974 5948 7435 14870 29740 37175 74350 148700 6873653 13747306 27494612 34368265 68736530 137473060 171841325 343682650 687365300 10221122011 20442244022 40884488044 51105610055 102211220110 204422440220 255528050275 511056100550 1022112201100