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102132421024 = 2517617938959
BaseRepresentation
bin101111100011110010…
…0010001000110100000
3100202121210011112222011
41133013210101012200
53133131344433044
6114530300122304
710243636153264
oct1370744210640
9322553145864
10102132421024
113a3500a8627
1217963b36394
13982853c52a
144d2c34a0a4
1529cb558134
hex17c79111a0

102132421024 has 96 divisors (see below), whose sum is σ = 219135974400. Its totient is φ = 46674800640.

The previous prime is 102132421021. The next prime is 102132421133. The reversal of 102132421024 is 420124231201.

It is a junction number, because it is equal to n+sod(n) for n = 102132420986 and 102132421004.

It is not an unprimeable number, because it can be changed into a prime (102132421021) 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, 2602057 + ... + 2641015.

It is an arithmetic number, because the mean of its divisors is an integer number (2282666400).

Almost surely, 2102132421024 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 102132421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109567987200).

102132421024 is an abundant number, since it is smaller than the sum of its proper divisors (117003553376).

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

102132421024 is a wasteful number, since it uses less digits than its factorization.

102132421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39126 (or 39118 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102132421024 its reverse (420124231201), we get a palindrome (522256652225).

The spelling of 102132421024 in words is "one hundred two billion, one hundred thirty-two million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 61 68 79 122 136 158 244 272 316 488 544 632 976 1037 1264 1343 1952 2074 2528 2686 4148 4819 5372 8296 9638 10744 16592 19276 21488 33184 38552 38959 42976 77104 77918 81923 154208 155836 163846 311672 327692 623344 655384 662303 1246688 1310768 1324606 2376499 2621536 2649212 3077761 4752998 5298424 6155522 9505996 10596848 12311044 19011992 21193696 24622088 38023984 40400483 49244176 52321937 76047968 80800966 98488352 104643874 161601932 187743421 209287748 323203864 375486842 418575496 646407728 750973684 837150992 1292815456 1501947368 1674301984 3003894736 3191638157 6007789472 6383276314 12766552628 25533105256 51066210512 102132421024