Search a number
-
+
201331133102 = 21127113984299
BaseRepresentation
bin1011101110000001000…
…1010100101010101110
3201020200010001020211102
42323200101110222232
511244311232224402
6232253520523102
720355113252351
oct2734021245256
9636603036742
10201331133102
11784251a3200
1233029480492
1315ca7037ab8
149a5cbc8298
155385264102
hex2ee0454aae

201331133102 has 48 divisors (see below), whose sum is σ = 339047856000. Its totient is φ = 89575054800.

The previous prime is 201331133083. The next prime is 201331133141.

201331133102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2013311331022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2346149 + ... + 2430447.

It is an arithmetic number, because the mean of its divisors is an integer number (7063497000).

Almost surely, 2201331133102 is an apocalyptic number.

201331133102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201331133102 is a deficient number, since it is larger than the sum of its proper divisors (137716722898).

201331133102 is a wasteful number, since it uses less digits than its factorization.

201331133102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84533 (or 84522 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 201331 and 133102, that added together give a palindrome (334433).

The spelling of 201331133102 in words is "two hundred one billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 11 22 71 121 139 142 242 278 781 1529 1562 3058 8591 9869 16819 17182 19738 33638 84299 108559 168598 217118 927289 1194149 1854578 2388298 5985229 10200179 11717561 11970458 20400358 23435122 65837519 128893171 131675038 257786342 724212709 831946831 1417824881 1448425418 1663893662 2835649762 9151415141 18302830282 100665566551 201331133102