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200201122000 = 2453119100051
BaseRepresentation
bin1011101001110011101…
…0101011000011010000
3201010202100201202000101
42322130322223003100
511240002441401000
6231545432502144
720315112313345
oct2723472530320
9633670652011
10200201122000
11779a5350130
1232972b4a954
1315b56baa089
149992ab67cc
15531ae50e6a
hex2e9ceab0d0

200201122000 has 80 divisors (see below), whose sum is σ = 528094217664. Its totient is φ = 72800400000.

The previous prime is 200201121997. The next prime is 200201122019. The reversal of 200201122000 is 221102002.

200201122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4528026 + ... + 4572025.

Almost surely, 2200201122000 is an apocalyptic number.

200201122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201122000 is an abundant number, since it is smaller than the sum of its proper divisors (327893095664).

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

200201122000 is a wasteful number, since it uses less digits than its factorization.

200201122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100085 (or 9100069 counting only the distinct ones).

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

Adding to 200201122000 its reverse (221102002), we get a palindrome (200422224002).

The spelling of 200201122000 in words is "two hundred billion, two hundred one million, one hundred twenty-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 9100051 18200102 36400204 45500255 72800408 91000510 100100561 145600816 182001020 200201122 227501275 364002040 400402244 455002550 500502805 728004080 800804488 910005100 1001005610 1137506375 1601608976 1820010200 2002011220 2275012750 2502514025 3640020400 4004022440 4550025500 5005028050 8008044880 9100051000 10010056100 12512570125 18200102000 20020112200 25025140250 40040224400 50050280500 100100561000 200201122000