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101212000200010 = 2572286483721003
BaseRepresentation
bin10111000000110101000001…
…010100011010010101001010
3111021100202212022111221222101
4113000311001110122111022
5101231224134022400020
6555132052341144014
730214216500644200
oct2700650124322512
9437322768457871
10101212000200010
112a28184a581137
12b4276920bb00a
1344623349354cb
141adc988dab070
15ba7b52c6a00a
hex5c0d4151a54a

101212000200010 has 48 divisors (see below), whose sum is σ = 211926568794336. Its totient is φ = 34701087953952.

The previous prime is 101212000199927. The next prime is 101212000200011. The reversal of 101212000200010 is 10002000212101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101212000200010.

It is not an unprimeable number, because it can be changed into a prime (101212000200011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 140016169 + ... + 140737171.

It is an arithmetic number, because the mean of its divisors is an integer number (4415136849882).

Almost surely, 2101212000200010 is an apocalyptic number.

101212000200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101212000200010 is an abundant number, since it is smaller than the sum of its proper divisors (110714568594326).

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

101212000200010 is a wasteful number, since it uses less digits than its factorization.

101212000200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007507 (or 1007500 counting only the distinct ones).

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

Adding to 101212000200010 its reverse (10002000212101), we get a palindrome (111214000412111).

The spelling of 101212000200010 in words is "one hundred one trillion, two hundred twelve billion, two hundred thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 286483 572966 721003 1432415 1442006 2005381 2864830 3605015 4010762 5047021 7210030 10026905 10094042 14037667 20053810 25235105 28075334 35329147 50470210 70188335 70658294 140376670 176645735 353291470 206555102449 413110204898 1032775512245 1445885717143 2065551024490 2891771434286 7229428585715 10121200020001 14458857171430 20242400040002 50606000100005 101212000200010