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1001012010201 = 327281206327409
BaseRepresentation
bin11101001000100001111…
…01110001110011011001
310112200210020200212111100
432210100331301303121
5112400033033311301
62043505241222013
7132215003461050
oct16442075616331
93480706625440
101001012010201
11356588202165
12142004a91909
1373519b4c548
14366409dd397
151b08a51b286
hexe910f71cd9

1001012010201 has 48 divisors (see below), whose sum is σ = 1659209310720. Its totient is φ = 569674183680.

The previous prime is 1001012010151. The next prime is 1001012010241. The reversal of 1001012010201 is 1020102101001.

It is a happy number.

It is not a de Polignac number, because 1001012010201 - 210 = 1001012009177 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 (1001012010241) 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, 36507585 + ... + 36534993.

It is an arithmetic number, because the mean of its divisors is an integer number (34566860640).

Almost surely, 21001012010201 is an apocalyptic number.

It is an amenable number.

1001012010201 is a deficient number, since it is larger than the sum of its proper divisors (658197300519).

1001012010201 is a wasteful number, since it uses less digits than its factorization.

1001012010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29766 (or 29763 counting only the distinct ones).

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

Adding to 1001012010201 its reverse (1020102101001), we get a palindrome (2021114111202).

The spelling of 1001012010201 in words is "one trillion, one billion, twelve million, ten thousand, two hundred one".

Divisors: 1 3 7 9 21 63 281 843 1967 2063 2529 5901 6189 14441 17703 18567 27409 43323 82227 129969 191863 246681 575589 579703 1726767 1739109 4057921 5217327 7701929 12173763 23105787 36521289 53913503 56544767 69317361 161740509 169634301 395813369 485221527 508902903 1187440107 3562320321 15889079527 47667238581 111223556689 143001715743 333670670067 1001012010201