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1021000101023 = 77115125752937
BaseRepresentation
bin11101101101110000101…
…10010010110010011111
310121121101020211002102102
432312320112102302133
5113212002011213043
62101012503315315
7133523222444240
oct16667026226237
93547336732372
101021000101023
11364004a37691
12145a62a4bb3b
1375383c17616
14375b94a4cc7
151b85a1d36b8
hexedb8592c9f

1021000101023 has 32 divisors (see below), whose sum is σ = 1195785566208. Its totient is φ = 853751808000.

The previous prime is 1021000101013. The next prime is 1021000101097. The reversal of 1021000101023 is 3201010001201.

It is not a de Polignac number, because 1021000101023 - 214 = 1021000084639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1021000100995 and 1021000101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021000101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19260611 + ... + 19313547.

It is an arithmetic number, because the mean of its divisors is an integer number (37368298944).

Almost surely, 21021000101023 is an apocalyptic number.

1021000101023 is a deficient number, since it is larger than the sum of its proper divisors (174785465185).

1021000101023 is a wasteful number, since it uses less digits than its factorization.

1021000101023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53423.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1021000101023 its reverse (3201010001201), we get a palindrome (4222010102224).

The spelling of 1021000101023 in words is "one trillion, twenty-one billion, one hundred one thousand, twenty-three".

Divisors: 1 7 71 151 257 497 1057 1799 10721 18247 38807 52937 75047 127729 271649 370559 2755297 3758527 7993487 13604809 19287079 26309689 55954409 95233663 567537577 965941439 2054326159 3972763039 6761590073 14380283113 145857157289 1021000101023