Search a number
-
+
221300003203032 = 2331329113167216127
BaseRepresentation
bin110010010100010101101100…
…000101000110011111011000
31002000120001222201110202012010
4302110111230011012133120
5213001234401304444112
62102355452403545520
764420253244261315
oct6224255405063730
91060501881422163
10221300003203032
1164570893590006
12209a150b38b2a0
13966366821bc20
143c90d97a21d0c
151a8b7c327e63c
hexc9456c1467d8

221300003203032 has 128 divisors (see below), whose sum is σ = 616361092300800. Its totient is φ = 65743412894208.

The previous prime is 221300003203007. The next prime is 221300003203049. The reversal of 221300003203032 is 230302300003122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023826953 + ... + 1024043079.

It is an arithmetic number, because the mean of its divisors is an integer number (4815321033600).

Almost surely, 2221300003203032 is an apocalyptic number.

It is an amenable number.

221300003203032 is an abundant number, since it is smaller than the sum of its proper divisors (395061089097768).

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

221300003203032 is a wasteful number, since it uses less digits than its factorization.

221300003203032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329345 (or 329341 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 221300003203032 its reverse (230302300003122), we get a palindrome (451602303206154).

The spelling of 221300003203032 in words is "two hundred twenty-one trillion, three hundred billion, three million, two hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 113167 216127 226334 339501 432254 452668 648381 679002 864508 905336 1296762 1358004 1471171 1729016 2593524 2716008 2809651 2942342 3281843 4413513 5187048 5619302 5884684 6267683 6563686 8428953 8827026 9845529 11238604 11769368 12535366 13127372 16857906 17654052 18803049 19691058 22477208 25070732 26254744 33715812 35308104 37606098 39382116 42663959 50141464 67431624 75212196 78764232 81479879 85327918 127991877 150424392 162959758 170655836 244439637 255983754 325919516 341311672 488879274 511967508 651839032 977758548 1023935016 1955517096 24458444209 48916888418 73375332627 97833776836 146750665254 195667553672 293501330508 317959774717 587002661016 635919549434 709294882061 953879324151 1271839098868 1418589764122 1907758648302 2127884646183 2543678197736 2837179528244 3815517296604 4255769292366 5674359056488 7631034593208 8511538584732 9220833466793 17023077169464 18441666933586 27662500400379 36883333867172 55325000800758 73766667734344 110650001601516 221300003203032