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102123228444 = 223172934749747
BaseRepresentation
bin101111100011100000…
…1001100110100011100
3100202121010212112010020
41133013001030310130
53133122021302234
6114525331112140
710243465055616
oct1370701146434
9322533775106
10102123228444
113a34599a056
1217960a42650
139826671333
144d2b035db6
1529ca83e549
hex17c704cd1c

102123228444 has 96 divisors (see below), whose sum is σ = 261762036480. Its totient is φ = 30844111872.

The previous prime is 102123228439. The next prime is 102123228479. The reversal of 102123228444 is 444822321201.

It is a happy number.

It is a super-2 number, since 2×1021232284442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2027979 + ... + 2077725.

It is an arithmetic number, because the mean of its divisors is an integer number (2726687880).

Almost surely, 2102123228444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123228444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130881018240).

102123228444 is an abundant number, since it is smaller than the sum of its proper divisors (159638808036).

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

102123228444 is a wasteful number, since it uses less digits than its factorization.

102123228444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50147 (or 50145 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 102123228444 its reverse (444822321201), we get a palindrome (546945549645).

The spelling of 102123228444 in words is "one hundred two billion, one hundred twenty-three million, two hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 347 348 493 694 986 1041 1388 1479 1972 2082 2958 4164 5899 5916 10063 11798 17697 20126 23596 30189 35394 40252 49747 60378 70788 99494 120756 149241 171071 198988 298482 342142 513213 596964 684284 845699 1026426 1442663 1691398 2052852 2537097 2885326 3382796 4327989 5074194 5770652 8655978 10148388 17262209 17311956 24525271 34524418 49050542 51786627 69048836 73575813 98101084 103573254 147151626 207146508 293457553 294303252 500604061 586915106 880372659 1001208122 1173830212 1501812183 1760745318 2002416244 3003624366 3521490636 6007248732 8510269037 17020538074 25530807111 34041076148 51061614222 102123228444