Search a number
-
+
202031043136 = 26131743332183
BaseRepresentation
bin1011110000100111111…
…1010001001001000000
3201022110220001100220021
42330021333101021000
511302224421340021
6232451202223224
720411342350366
oct2741177211100
9638426040807
10202031043136
1178754290a4a
12331a3954b14
1316089045250
149ac7b3b636
1553c6919c41
hex2f09fd1240

202031043136 has 112 divisors (see below), whose sum is σ = 467773536384. Its totient is φ = 85718900736.

The previous prime is 202031043133. The next prime is 202031043161. The reversal of 202031043136 is 631340130202.

It is a self number, because there is not a number n which added to its sum of digits gives 202031043136.

It is not an unprimeable number, because it can be changed into a prime (202031043133) 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, 442101 + ... + 774283.

It is an arithmetic number, because the mean of its divisors is an integer number (4176549432).

Almost surely, 2202031043136 is an apocalyptic number.

202031043136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202031043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233886768192).

202031043136 is an abundant number, since it is smaller than the sum of its proper divisors (265742493248).

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

202031043136 is a wasteful number, since it uses less digits than its factorization.

202031043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332268 (or 332258 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 202031043136 its reverse (631340130202), we get a palindrome (833371173338).

The spelling of 202031043136 in words is "two hundred two billion, thirty-one million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 43 52 64 68 86 104 136 172 208 221 272 344 416 442 544 559 688 731 832 884 1088 1118 1376 1462 1768 2236 2752 2924 3536 4472 5848 7072 8944 9503 11696 14144 17888 19006 23392 35776 38012 46784 76024 152048 304096 332183 608192 664366 1328732 2657464 4318379 5314928 5647111 8636758 10629856 11294222 14283869 17273516 21259712 22588444 28567738 34547032 45176888 57135476 69094064 73412443 90353776 114270952 138188128 146824886 180707552 185690297 228541904 242825773 276376256 293649772 361415104 371380594 457083808 485651546 587299544 742761188 914167616 971303092 1174599088 1485522376 1942606184 2349198176 2971044752 3156735049 3885212368 4698396352 5942089504 6313470098 7770424736 11884179008 12626940196 15540849472 25253880392 50507760784 101015521568 202031043136