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1012020000201 = 327107214170121
BaseRepresentation
bin11101011101000010001…
…01111011010111001001
310120202012102011200221200
432232201011323113021
5113040104110001301
62052525432454413
7133054541032260
oct16564105732711
93522172150850
101012020000201
113602169a7a61
1214417754a409
13745826138b2
1436da698d5d7
151b4d1b37c86
hexeba117b5c9

1012020000201 has 48 divisors (see below), whose sum is σ = 1687061271168. Its totient is φ = 572616748800.

The previous prime is 1012020000151. The next prime is 1012020000209. The reversal of 1012020000201 is 1020000202101.

It is not a de Polignac number, because 1012020000201 - 214 = 1012019983817 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1012020000209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14397421 + ... + 14467541.

It is an arithmetic number, because the mean of its divisors is an integer number (35147109816).

Almost surely, 21012020000201 is an apocalyptic number.

It is an amenable number.

1012020000201 is a deficient number, since it is larger than the sum of its proper divisors (675041270967).

1012020000201 is a wasteful number, since it uses less digits than its factorization.

1012020000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72382 (or 72379 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012020000201 its reverse (1020000202101), we get a palindrome (2032020202302).

The spelling of 1012020000201 in words is "one trillion, twelve billion, twenty million, two hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 107 321 749 963 2141 2247 6423 6741 14987 19269 44961 70121 134883 210363 229087 490847 631089 687261 1472541 1603609 2061783 4417623 4810827 7502947 14432481 22508841 52520629 67526523 150129061 157561887 450387183 472685661 1050903427 1351161549 3152710281 9458130843 16063809527 48191428581 112446666689 144574285743 337340000067 1012020000201