Search a number
-
+
22332103232100 = 22352174378843771
BaseRepresentation
bin1010001001111100110010…
…00101001000101001100100
32221001221001200010112210020
411010332121011020221210
510411342121411411400
6115255120535555140
74463304223306224
oct504763105105144
987057050115706
1022332103232100
11712aaa00945a2
12260814022bab0
13c5cba66bbb1c
14572c45746084
1528ad98b012a0
hex144f99148a64

22332103232100 has 72 divisors (see below), whose sum is σ = 68415055093728. Its totient is φ = 5604920025600.

The previous prime is 22332103232063. The next prime is 22332103232129. The reversal of 22332103232100 is 123230123322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2189416786 + ... + 2189426985.

It is an arithmetic number, because the mean of its divisors is an integer number (950209098524).

Almost surely, 222332103232100 is an apocalyptic number.

22332103232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22332103232100 is an abundant number, since it is smaller than the sum of its proper divisors (46082951861628).

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

22332103232100 is a wasteful number, since it uses less digits than its factorization.

22332103232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378843805 (or 4378843798 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 22332103232100 its reverse (123230123322), we get a palindrome (22455333355422).

The spelling of 22332103232100 in words is "twenty-two trillion, three hundred thirty-two billion, one hundred three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 4378843771 8757687542 13136531313 17515375084 21894218855 26273062626 43788437710 52546125252 65682656565 74440344107 87576875420 109471094275 131365313130 148880688214 218942188550 223321032321 262730626260 297761376428 328413282825 372201720535 437884377100 446642064642 656826565650 744403441070 893284129284 1116605161605 1313653131300 1488806882140 1861008602675 2233210323210 3722017205350 4466420646420 5583025808025 7444034410700 11166051616050 22332103232100