Search a number
-
+
23322322002120 = 2335579133561161
BaseRepresentation
bin1010100110110001001101…
…01101111110000011001000
310001120120222201110000012020
411103120212231332003020
511024103103413031440
6121334043220444440
74624660611054621
oct523304655760310
9101516881400166
1023322322002120
117481a39838649
122748032549720
1310023933c6acb
145a8b40ad6a48
152a6a017c03d0
hex153626b7e0c8

23322322002120 has 64 divisors (see below), whose sum is σ = 69979050109440. Its totient is φ = 6218211724800.

The previous prime is 23322322002113. The next prime is 23322322002121. The reversal of 23322322002120 is 2120022322332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23322322002121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16085661 + ... + 17475500.

It is an arithmetic number, because the mean of its divisors is an integer number (1093422657960).

Almost surely, 223322322002120 is an apocalyptic number.

23322322002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23322322002120 is an abundant number, since it is smaller than the sum of its proper divisors (46656728107320).

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

23322322002120 is a wasteful number, since it uses less digits than its factorization.

23322322002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33566966 (or 33566962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23322322002120 its reverse (2120022322332), we get a palindrome (25442344324452).

The spelling of 23322322002120 in words is "twenty-three trillion, three hundred twenty-two billion, three hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5791 11582 17373 23164 28955 34746 46328 57910 69492 86865 115820 138984 173730 231640 347460 694920 33561161 67122322 100683483 134244644 167805805 201366966 268489288 335611610 402733932 503417415 671223220 805467864 1006834830 1342446440 2013669660 4027339320 194352683351 388705366702 583058050053 777410733404 971763416755 1166116100106 1554821466808 1943526833510 2332232200212 2915290250265 3887053667020 4664464400424 5830580500530 7774107334040 11661161001060 23322322002120