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102001010002011 = 321761163237128279
BaseRepresentation
bin10111001100010011110101…
…111101111100100001011011
3111101011012102202122210112200
4113030103311331330201123
5101332141032030031021
61000534341143341243
730325221054416511
oct2714236575744133
9441135382583480
10102001010002011
112a556426a9246a
12b53458ba51823
1344bb866a09c33
141b28c378944b1
15bbd4312a7126
hex5cc4f5f7c85b

102001010002011 has 96 divisors (see below), whose sum is σ = 159604629649920. Its totient is φ = 62536638643200.

The previous prime is 102001010002009. The next prime is 102001010002093. The reversal of 102001010002011 is 110200010100201.

It is a happy number.

It is not a de Polignac number, because 102001010002011 - 21 = 102001010002009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 102001010001984 and 102001010002002.

It is not an unprimeable number, because it can be changed into a prime (102001010002211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3606938370 + ... + 3606966648.

It is an arithmetic number, because the mean of its divisors is an integer number (1662548225520).

Almost surely, 2102001010002011 is an apocalyptic number.

102001010002011 is a deficient number, since it is larger than the sum of its proper divisors (57603619647909).

102001010002011 is a wasteful number, since it uses less digits than its factorization.

102001010002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30897 (or 30894 counting only the distinct ones).

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

Adding to 102001010002011 its reverse (110200010100201), we get a palindrome (212201020102212).

The spelling of 102001010002011 in words is "one hundred two trillion, one billion, ten million, two thousand, eleven".

Divisors: 1 3 9 17 51 61 153 163 183 489 549 1037 1467 2371 2771 3111 7113 8313 9333 9943 21339 24939 28279 29829 40307 84837 89487 120921 144631 169031 254511 362763 386473 433893 480743 507093 1159419 1301679 1442229 1521279 1725019 2458727 3478257 4326687 4609477 5175057 6570041 7376181 13828431 15525171 19710123 22128543 23574853 29325323 41485293 59130369 67049509 70724559 78361109 87975969 201148527 212173677 235083327 263927907 281178097 400772501 603445581 705249981 843534291 1139841653 1202317503 2530602873 3419524959 3606952509 4090020049 4780027649 10258574877 10929069967 12270060147 14340082947 32787209901 36810180441 43020248841 69530340833 98361629703 185794189439 208591022499 557382568317 625773067497 666673267987 1672147704951 2000019803961 6000059411883 11333445555779 34000336667337 102001010002011