Search a number
-
+
202112111003301 = 33109229299893183
BaseRepresentation
bin101101111101000111100100…
…100101001100011010100101
3222111121201200112002222001000
4231331013210211030122211
5202442401100404101201
61553505004430223513
760400055344525602
oct5575074445143245
9874551615088030
10202112111003301
11594432a0678274
121a802821054b99
1388a1123491415
1437ca3c7ba96a9
1518575ee651d86
hexb7d1e494c6a5

202112111003301 has 32 divisors (see below), whose sum is σ = 303491902208000. Its totient is φ = 132922254844224.

The previous prime is 202112111003251. The next prime is 202112111003311. The reversal of 202112111003301 is 103300111211202.

202112111003301 is a `hidden beast` number, since 2 + 0 + 21 + 1 + 211 + 100 + 330 + 1 = 666.

It is not a de Polignac number, because 202112111003301 - 226 = 202112043894437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112111003311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149272645 + ... + 150620538.

It is an arithmetic number, because the mean of its divisors is an integer number (9484121944000).

Almost surely, 2202112111003301 is an apocalyptic number.

It is an amenable number.

202112111003301 is a deficient number, since it is larger than the sum of its proper divisors (101379791204699).

202112111003301 is a wasteful number, since it uses less digits than its factorization.

202112111003301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299893530 (or 299893524 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 202112111003301 its reverse (103300111211202), we get a palindrome (305412222214503).

The spelling of 202112111003301 in words is "two hundred two trillion, one hundred twelve billion, one hundred eleven million, three thousand, three hundred one".

Divisors: 1 3 9 27 109 229 327 687 981 2061 2943 6183 24961 74883 224649 673947 299893183 899679549 2699038647 8097115941 32688356947 68675538907 98065070841 206026616721 294195212523 618079850163 882585637569 1854239550489 7485633740863 22456901222589 67370703667767 202112111003301