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133211331221300 = 225223933119168293
BaseRepresentation
bin11110010010011110101110…
…000100111101011100110100
3122110122212201201020221011022
4132102132232010331130310
5114430013301243040200
61151152235111000312
740026125653541303
oct3622365604753464
9573585651227138
10133211331221300
1139499676731402
1212b352b9369098
135943a0bb3b517
1424c766a02643a
1510601ebe2a885
hex7927ae13d734

133211331221300 has 72 divisors (see below), whose sum is σ = 290288570342400. Its totient is φ = 53059667221120.

The previous prime is 133211331221273. The next prime is 133211331221303. The reversal of 133211331221300 is 3122133112331.

It is a super-2 number, since 2×1332113312213002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133211331221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211331221303) 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, 791459954 + ... + 791628246.

It is an arithmetic number, because the mean of its divisors is an integer number (4031785699200).

Almost surely, 2133211331221300 is an apocalyptic number.

133211331221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133211331221300 is an abundant number, since it is smaller than the sum of its proper divisors (157077239121100).

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

133211331221300 is a wasteful number, since it uses less digits than its factorization.

133211331221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201665 (or 201658 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 133211331221300 its reverse (3122133112331), we get a palindrome (136333464333631).

The spelling of 133211331221300 in words is "one hundred thirty-three trillion, two hundred eleven billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 239 478 956 1195 2390 4780 5975 11950 23900 33119 66238 132476 165595 168293 331190 336586 662380 673172 827975 841465 1655950 1682930 3311900 3365860 4207325 7915441 8414650 15830882 16829300 31661764 39577205 40222027 79154410 80444054 158308820 160888108 197886025 201110135 395772050 402220270 791544100 804440540 1005550675 2011101350 4022202700 5573695867 11147391734 22294783468 27868479335 55736958670 111473917340 139342396675 278684793350 557369586700 1332113312213 2664226624426 5328453248852 6660566561065 13321133122130 26642266244260 33302832805325 66605665610650 133211331221300