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102441134124 = 22327412998453
BaseRepresentation
bin101111101100111110…
…1111010100000101100
3100210102022001210201200
41133121331322200230
53134244412242444
6115021045005500
710254405162420
oct1373175724054
9323368053650
10102441134124
113a49939331a
1217a2b3b3890
13987749b1c4
144d5b34ab80
1529e86d8969
hex17d9f7a82c

102441134124 has 72 divisors (see below), whose sum is σ = 296015734560. Its totient is φ = 29261509632.

The previous prime is 102441134057. The next prime is 102441134161. The reversal of 102441134124 is 421431144201.

102441134124 is a `hidden beast` number, since 1 + 0 + 244 + 1 + 1 + 3 + 412 + 4 = 666.

It is a super-2 number, since 2×1024411341242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991282 + ... + 1089734.

Almost surely, 2102441134124 is an apocalyptic number.

102441134124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102441134124 is an abundant number, since it is smaller than the sum of its proper divisors (193574600436).

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

102441134124 is a wasteful number, since it uses less digits than its factorization.

102441134124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102599 (or 102594 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102441134124 its reverse (421431144201), we get a palindrome (523872278325).

The spelling of 102441134124 in words is "one hundred two billion, four hundred forty-one million, one hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4129 8258 12387 16516 24774 28903 37161 49548 57806 74322 86709 98453 115612 148644 173418 196906 260127 295359 346836 393812 520254 590718 689171 886077 1040508 1181436 1378342 1772154 2067513 2756684 3544308 4135026 6202539 8270052 12405078 24810156 406512437 813024874 1219537311 1626049748 2439074622 2845587059 3658611933 4878149244 5691174118 7317223866 8536761177 11382348236 14634447732 17073522354 25610283531 34147044708 51220567062 102441134124