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1021020002002 = 2721113715910177
BaseRepresentation
bin11101101101110011000…
…10001101011011010010
310121121102122021011102201
432312321202031123102
5113212022110031002
62101014454033414
7133523553551500
oct16667142153322
93547378234381
101021020002002
1136401519a580
12145a6964886a
1375388094950
14375bbda5670
151b85bd15087
hexedb988d6d2

1021020002002 has 96 divisors (see below), whose sum is σ = 2093538061440. Its totient is φ = 367112632320.

The previous prime is 1021020001997. The next prime is 1021020002003. The reversal of 1021020002002 is 2002000201201.

It is a self number, because there is not a number n which added to its sum of digits gives 1021020002002.

It is not an unprimeable number, because it can be changed into a prime (1021020002003) 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, 100321138 + ... + 100331314.

It is an arithmetic number, because the mean of its divisors is an integer number (21807688140).

Almost surely, 21021020002002 is an apocalyptic number.

1021020002002 is an abundant number, since it is smaller than the sum of its proper divisors (1072518059438).

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

1021020002002 is a wasteful number, since it uses less digits than its factorization.

1021020002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17376 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1021020002002 its reverse (2002000201201), we get a palindrome (3023020203203).

It can be divided in two parts, 10 and 21020002002, that added together give a palindrome (21020002012).

The spelling of 1021020002002 in words is "one trillion, twenty-one billion, twenty million, two thousand, two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 2002 7007 7159 10177 14014 14318 20354 50113 71239 78749 93067 100226 111947 132301 142478 157498 186134 223894 264602 350791 498673 551243 651469 701582 783629 926107 997346 1023737 1102486 1302938 1455311 1567258 1852214 2047474 2910622 3858701 4560283 5485403 6482749 7166159 7717402 9120566 10187177 10970806 12965498 14332318 20374354 50163113 71310239 72857143 100326226 142620478 145714286 510000001 801428573 947142859 1020000002 1602857146 1894285718 3570000007 5610000011 6630000013 7140000014 10418571449 11220000022 13260000026 20837142898 39270000077 46410000091 72930000143 78540000154 92820000182 145860000286 510510001001 1021020002002