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1010023111201 = 13834597203627
BaseRepresentation
bin11101011001010100001…
…00011001101000100001
310120120001020200020012211
432230222010121220201
5113022011404024301
62051555340322121
7132654212535406
oct16545204315041
93516036606184
101010023111201
1135a391795775
121438ba843341
13743249b8580
1436c576a42ad
151b41668c051
hexeb2a119a21

1010023111201 has 16 divisors (see below), whose sum is σ = 1101067095744. Its totient is φ = 920891254464.

The previous prime is 1010023111177. The next prime is 1010023111219. The reversal of 1010023111201 is 1021113200101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1010023111201 - 27 = 1010023111073 is a prime.

It is a super-2 number, since 2×10100231112012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010023111301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4858350 + ... + 5061976.

It is an arithmetic number, because the mean of its divisors is an integer number (68816693484).

Almost surely, 21010023111201 is an apocalyptic number.

It is an amenable number.

1010023111201 is a deficient number, since it is larger than the sum of its proper divisors (91043984543).

1010023111201 is a wasteful number, since it uses less digits than its factorization.

1010023111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208320.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1010023111201 its reverse (1021113200101), we get a palindrome (2031136311302).

The spelling of 1010023111201 in words is "one trillion, ten billion, twenty-three million, one hundred eleven thousand, two hundred one".

Divisors: 1 13 83 1079 4597 59761 203627 381551 2647151 4960163 16901041 219713533 936073319 12168953147 77694085477 1010023111201