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1012012000208 = 241113959536949
BaseRepresentation
bin11101011101000001001…
…11011010001111010000
310120202011212010021000122
432232200213122033100
5113040100033001313
62052524545205412
7133054413032546
oct16564047321720
93522155107018
101012012000208
113602124334a0
12144174930868
1374580a72481
1436da58a9d96
151b4d10a7708
hexeba09da3d0

1012012000208 has 80 divisors (see below), whose sum is σ = 2155086024000. Its totient is φ = 456553635840.

The previous prime is 1012012000201. The next prime is 1012012000213. The reversal of 1012012000208 is 8020002102101.

It is a happy number.

1012012000208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012012000201) 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, 145630718 + ... + 145637666.

It is an arithmetic number, because the mean of its divisors is an integer number (26938575300).

Almost surely, 21012012000208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012012000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077543012000).

1012012000208 is an abundant number, since it is smaller than the sum of its proper divisors (1143074023792).

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

1012012000208 is a wasteful number, since it uses less digits than its factorization.

1012012000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13060 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1012012000208 its reverse (8020002102101), we get a palindrome (9032014102309).

The spelling of 1012012000208 in words is "one trillion, twelve billion, twelve million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 1112 1529 2224 3058 5953 6116 6949 11906 12232 13898 23812 24464 27796 47624 55592 65483 76439 95248 111184 130966 152878 261932 305756 523864 611512 827467 965911 1047728 1223024 1654934 1931822 3309868 3863644 6619736 7727288 9102137 10625021 13239472 15454576 18204274 21250042 36408548 41367397 42500084 72817096 82734794 85000168 145634192 165469588 170000336 330939176 455041367 661878352 910082734 1820165468 3640330936 5750068183 7280661872 11500136366 23000272732 46000545464 63250750013 92001090928 126501500026 253003000052 506006000104 1012012000208