Search a number
-
+
133321300132002 = 233713740910717727
BaseRepresentation
bin11110010100000101001000…
…101111000100000010100010
3122111001101120122011102000220
4132110011020233010002202
5114433314010313211002
61151314543150223510
740040101050055353
oct3624051057040242
9574041518142026
10133321300132002
1139531278277684
1212b526897b4b96
1359511b5a71698
1424ccadd035d2a
151062ed64317bc
hex794148bc40a2

133321300132002 has 64 divisors (see below), whose sum is σ = 276522526909440. Its totient is φ = 42818772980736.

The previous prime is 133321300131989. The next prime is 133321300132019. The reversal of 133321300132002 is 200231003123331.

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, 7080463 + ... + 17798189.

It is an arithmetic number, because the mean of its divisors is an integer number (4320664482960).

Almost surely, 2133321300132002 is an apocalyptic number.

133321300132002 is an abundant number, since it is smaller than the sum of its proper divisors (143201226777438).

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

133321300132002 is a wasteful number, since it uses less digits than its factorization.

133321300132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10718315.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133321300132002 its reverse (200231003123331), we get a palindrome (333552303255333).

The spelling of 133321300132002 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, three hundred million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 37 74 111 137 222 274 409 411 818 822 1227 2454 5069 10138 15133 15207 30266 30414 45399 56033 90798 112066 168099 336198 2073221 4146442 6219663 10717727 12439326 21435454 32153181 64306362 396555899 793111798 1189667697 1468328599 2379335394 2936657198 4383550343 4404985797 8767100686 8809971594 13150651029 26301302058 54328158163 108656316326 162191362691 162984474489 324382725382 325968948978 486574088073 600546396991 973148176146 1201092793982 1801639190973 3603278381946 22220216688667 44440433377334 66660650066001 133321300132002