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1001012210200 = 235218127652271
BaseRepresentation
bin11101001000100001111…
…10100010101000011000
310112200210021002000211201
432210100332202220120
5112400033111211300
62043505245403544
7132215005253122
oct16442076425030
93480707060751
101001012210200
11356588329452
12142004b695b4
1373519bbc5a2
1436640a52212
151b08a55a66a
hexe910fa2a18

1001012210200 has 48 divisors (see below), whose sum is σ = 2340211779360. Its totient is φ = 398192688000.

The previous prime is 1001012210137. The next prime is 1001012210203. The reversal of 1001012210200 is 20122101001.

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 (1001012210203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13789936 + ... + 13862335.

It is an arithmetic number, because the mean of its divisors is an integer number (48754412070).

Almost surely, 21001012210200 is an apocalyptic number.

1001012210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012210200 is an abundant number, since it is smaller than the sum of its proper divisors (1339199569160).

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

1001012210200 is a wasteful number, since it uses less digits than its factorization.

1001012210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27652468 (or 27652459 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001012210200 its reverse (20122101001), we get a palindrome (1021134311201).

The spelling of 1001012210200 in words is "one trillion, one billion, twelve million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3620 4525 7240 9050 18100 36200 27652271 55304542 110609084 138261355 221218168 276522710 553045420 691306775 1106090840 1382613550 2765227100 5005061051 5530454200 10010122102 20020244204 25025305255 40040488408 50050610510 100101221020 125126526275 200202442040 250253052550 500506105100 1001012210200