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10022102002000 = 245311455550091
BaseRepresentation
bin1001000111010111001111…
…0101000110100101010000
31022111002210112001021202001
42101311303311012211100
52303200231103031000
633152031243403344
72053034013304024
oct221656365064520
938432715037661
1010022102002000
113214393339280
12115a425823554
1357910717230a
14269102662384
15125a704be46a
hex91d73d46950

10022102002000 has 80 divisors (see below), whose sum is σ = 26436482938944. Its totient is φ = 3644400720000.

The previous prime is 10022102001979. The next prime is 10022102002001. The reversal of 10022102002000 is 20020122001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022102002001) 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, 227753046 + ... + 227797045.

Almost surely, 210022102002000 is an apocalyptic number.

10022102002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022102002000 is an abundant number, since it is smaller than the sum of its proper divisors (16414380936944).

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

10022102002000 is a wasteful number, since it uses less digits than its factorization.

10022102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455550125 (or 455550109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022102002000 its reverse (20020122001), we get a palindrome (10042122124001).

The spelling of 10022102002000 in words is "ten trillion, twenty-two billion, one hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 455550091 911100182 1822200364 2277750455 3644400728 4555500910 5011051001 7288801456 9111001820 10022102002 11388752275 18222003640 20044204004 22777504550 25055255005 36444007280 40088408008 45555009100 50110510010 56943761375 80176816016 91110018200 100221020020 113887522750 125276275025 182220036400 200442040040 227775045500 250552550050 400884080080 455550091000 501105100100 626381375125 911100182000 1002210200200 1252762750250 2004420400400 2505525500500 5011051001000 10022102002000