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202030000131311 = 11172431477940263
BaseRepresentation
bin101101111011111011000110…
…011001000100110011101111
3222111022212202002000111000222
4231323323012121010303233
5202440024420013200221
61553403144545241555
760361120511606342
oct5573730631046357
9874285662014028
10202030000131311
1159411495187890
121a7aa9263332bb
138896468c33031
1437c6438954459
1518553e5bbe9ab
hexb7bec6644cef

202030000131311 has 24 divisors (see below), whose sum is σ = 239568205033344. Its totient is φ = 168839895530880.

The previous prime is 202030000131307. The next prime is 202030000131367. The reversal of 202030000131311 is 113131000030202.

It is not a de Polignac number, because 202030000131311 - 22 = 202030000131307 is a prime.

It is a super-2 number, since 2×2020300001313112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 202030000131311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202030000131811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738833435 + ... + 739106828.

It is an arithmetic number, because the mean of its divisors is an integer number (9982008543056).

Almost surely, 2202030000131311 is an apocalyptic number.

202030000131311 is a deficient number, since it is larger than the sum of its proper divisors (37538204902033).

202030000131311 is a wasteful number, since it uses less digits than its factorization.

202030000131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477940351 (or 1477940334 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 202030000131311 its reverse (113131000030202), we get a palindrome (315161000161513).

The spelling of 202030000131311 in words is "two hundred two trillion, thirty billion, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 11 17 43 187 289 473 731 3179 8041 12427 136697 1477940263 16257342893 25124984471 63551431309 276374829181 427124736007 699065744399 1080374332253 4698372096077 11884117654783 18366363648301 202030000131311