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102001120002 = 23253229466897
BaseRepresentation
bin101111011111110111…
…1011001001100000010
3100202021122002202211100
41132333233121030002
53132344241320002
6114505245555230
710240453133415
oct1367757311402
9322248082740
10102001120002
113a292a78191
1217927b75b16
139807289812
144d18b2bb7c
1529bec6e11c
hex17bfbd9302

102001120002 has 48 divisors (see below), whose sum is σ = 226156053240. Its totient is φ = 33213113856.

The previous prime is 102001119989. The next prime is 102001120063. The reversal of 102001120002 is 200021100201.

It can be written as a sum of positive squares in 4 ways, for example, as 93520367721 + 8480752281 = 305811^2 + 92091^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14983 + ... + 451914.

Almost surely, 2102001120002 is an apocalyptic number.

102001120002 is an abundant number, since it is smaller than the sum of its proper divisors (124154933238).

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

102001120002 is a wasteful number, since it uses less digits than its factorization.

102001120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467187 (or 467184 counting only the distinct ones).

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

Adding to 102001120002 its reverse (200021100201), we get a palindrome (302022220203).

The spelling of 102001120002 in words is "one hundred two billion, one million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 53 106 159 229 318 458 477 687 954 1374 2061 4122 12137 24274 36411 72822 109233 218466 466897 933794 1400691 2801382 4202073 8404146 24745541 49491082 74236623 106919413 148473246 213838826 222709869 320758239 445419738 641516478 962274717 1924549434 5666728889 11333457778 17000186667 34000373334 51000560001 102001120002