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1001211010200 = 233252556228339
BaseRepresentation
bin11101001000111001101…
…00111001110010011000
310112201022010011010011200
432210130310321302120
5112400440004311300
62043541110354200
7132222641112012
oct16443464716230
93481263133150
101001211010200
1135667a571875
1214205b65b960
137354c14661b
143665d2011b2
151b09cc29200
hexe91cd39c98

1001211010200 has 72 divisors (see below), whose sum is σ = 3362400315300. Its totient is φ = 266989602240.

The previous prime is 1001211010187. The next prime is 1001211010207. The reversal of 1001211010200 is 20101121001.

It is a happy number.

1001211010200 is digitally balanced in base 2 and base 4, because in such bases 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001211010207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278112370 + ... + 278115969.

Almost surely, 21001211010200 is an apocalyptic number.

1001211010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001211010200 is an abundant number, since it is smaller than the sum of its proper divisors (2361189305100).

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

1001211010200 is a wasteful number, since it uses less digits than its factorization.

1001211010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556228361 (or 556228349 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001211010200 its reverse (20101121001), we get a palindrome (1021312131201).

The spelling of 1001211010200 in words is "one trillion, one billion, two hundred eleven million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 556228339 1112456678 1668685017 2224913356 2781141695 3337370034 4449826712 5006055051 5562283390 6674740068 8343425085 10012110102 11124566780 13349480136 13905708475 16686850170 20024220204 22249133560 25030275255 27811416950 33373700340 40048440408 41717125425 50060550510 55622833900 66747400680 83434250850 100121101020 111245667800 125151376275 166868501700 200242202040 250302752550 333737003400 500605505100 1001211010200