Search a number
-
+
1022122002100 = 225227533712757
BaseRepresentation
bin11101101111110110011…
…10000000011010110100
310121201021102212120101011
432313323032000122310
5113221301213031400
62101320101442004
7133563064444663
oct16677316003264
93551242776334
101022122002100
11364530250561
12146116710304
1375502495b04
14376844a4dda
151b8c39438ba
hexedfb3806b4

1022122002100 has 36 divisors (see below), whose sum is σ = 2218811010444. Its totient is φ = 408700180480.

The previous prime is 1022122002071. The next prime is 1022122002113. The reversal of 1022122002100 is 12002212201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36493989156 + 985628012944 = 191034^2 + 992788^2 .

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, 1581079 + ... + 2131678.

It is an arithmetic number, because the mean of its divisors is an integer number (61633639179).

Almost surely, 21022122002100 is an apocalyptic number.

1022122002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022122002100 is an abundant number, since it is smaller than the sum of its proper divisors (1196689008344).

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

1022122002100 is a wasteful number, since it uses less digits than its factorization.

1022122002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715524 (or 3715517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1022122002100 its reverse (12002212201), we get a palindrome (1034124214301).

The spelling of 1022122002100 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2753 5506 11012 13765 27530 55060 68825 137650 275300 3712757 7425514 14851028 18563785 37127570 74255140 92818925 185637850 371275700 10221220021 20442440042 40884880084 51106100105 102212200210 204424400420 255530500525 511061001050 1022122002100