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132121314304300 = 225217173449239423
BaseRepresentation
bin11110000010100111100100…
…000000011010000100101100
3122022210200012120010022210101
4132002213210000122010230
5114304133422430214200
61144555405513320444
736554310222610066
oct3602474400320454
9568720176108711
10132121314304300
1139109375590432
1212999bb4a06124
135894ca93a9669
14248a9c475a736
151041ba2ae526a
hex7829e401a12c

132121314304300 has 72 divisors (see below), whose sum is σ = 305322879085056. Its totient is φ = 49452275573760.

The previous prime is 132121314304261. The next prime is 132121314304307. The reversal of 132121314304300 is 3403413121231.

It is not an unprimeable number, because it can be changed into a prime (132121314304307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224325612 + ... + 224913811.

It is an arithmetic number, because the mean of its divisors is an integer number (4240595542848).

Almost surely, 2132121314304300 is an apocalyptic number.

132121314304300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121314304300 is an abundant number, since it is smaller than the sum of its proper divisors (173201564780756).

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

132121314304300 is a wasteful number, since it uses less digits than its factorization.

132121314304300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449239627 (or 449239620 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 132121314304300 its reverse (3403413121231), we get a palindrome (135524727425531).

The spelling of 132121314304300 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, three hundred fourteen million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 173 340 346 425 692 850 865 1700 1730 2941 3460 4325 5882 8650 11764 14705 17300 29410 58820 73525 147050 294100 449239423 898478846 1796957692 2246197115 4492394230 7637070191 8984788460 11230985575 15274140382 22461971150 30548280764 38185350955 44923942300 76370701910 77718420179 152741403820 155436840358 190926754775 310873680716 381853509550 388592100895 763707019100 777184201790 1321213143043 1554368403580 1942960504475 2642426286086 3885921008950 5284852572172 6606065715215 7771842017900 13212131430430 26424262860860 33030328576075 66060657152150 132121314304300