Search a number
-
+
102211441224 = 23329241609359
BaseRepresentation
bin101111100110001000…
…1101101001001001000
3100202211021212012022020
41133030101231021020
53133312112104344
6114542201524440
710245615626004
oct1371421551110
9322737765266
10102211441224
113a39076a682
12179864a3720
13983ba18949
144d38a39704
1529d3466719
hex17cc46d248

102211441224 has 64 divisors (see below), whose sum is σ = 265437216000. Its totient is φ = 32759086080.

The previous prime is 102211441219. The next prime is 102211441229. The reversal of 102211441224 is 422144112201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102211441219) and next prime (102211441229).

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

It is a junction number, because it is equal to n+sod(n) for n = 102211441194 and 102211441203.

It is not an unprimeable number, because it can be changed into a prime (102211441229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136944 + ... + 472415.

It is an arithmetic number, because the mean of its divisors is an integer number (4147456500).

Almost surely, 2102211441224 is an apocalyptic number.

It is an amenable number.

102211441224 is an abundant number, since it is smaller than the sum of its proper divisors (163225774776).

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

102211441224 is a wasteful number, since it uses less digits than its factorization.

102211441224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609638 (or 609634 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102211441224 its reverse (422144112201), we get a palindrome (524355553425).

The spelling of 102211441224 in words is "one hundred two billion, two hundred eleven million, four hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 241 348 482 696 723 964 1446 1928 2892 5784 6989 13978 20967 27956 41934 55912 83868 167736 609359 1218718 1828077 2437436 3656154 4874872 7312308 14624616 17671411 35342822 53014233 70685644 106028466 141371288 146855519 212056932 293711038 424113864 440566557 587422076 881133114 1174844152 1762266228 3524532456 4258810051 8517620102 12776430153 17035240204 25552860306 34070480408 51105720612 102211441224