Search a number
-
+
102013242012 = 223211852730211
BaseRepresentation
bin101111100000001110…
…1101000101010011100
3100202022110220122002200
41133000131220222130
53132410342221022
6114510401451500
710240661151513
oct1370035505234
9322273818080
10102013242012
113a2998a7680
1217930040b90
1398099421c6
144d1a5a567a
1529c0d65bac
hex17c0768a9c

102013242012 has 72 divisors (see below), whose sum is σ = 281351546112. Its totient is φ = 30908455200.

The previous prime is 102013241959. The next prime is 102013242041. The reversal of 102013242012 is 210242310201.

It is a happy number.

102013242012 is a `hidden beast` number, since 1 + 0 + 201 + 32 + 420 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 3361587 + ... + 3391797.

Almost surely, 2102013242012 is an apocalyptic number.

102013242012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102013242012 is an abundant number, since it is smaller than the sum of its proper divisors (179338304100).

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

102013242012 is a wasteful number, since it uses less digits than its factorization.

102013242012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38759 (or 38754 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102013242012 its reverse (210242310201), we get a palindrome (312255552213).

The spelling of 102013242012 in words is "one hundred two billion, thirteen million, two hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8527 17054 25581 30211 34108 51162 60422 76743 90633 93797 102324 120844 153486 181266 187594 271899 281391 306972 332321 362532 375188 543798 562782 664642 844173 996963 1087596 1125564 1329284 1688346 1993926 2990889 3376692 3987852 5981778 11963556 257609197 515218394 772827591 1030436788 1545655182 2318482773 2833701167 3091310364 4636965546 5667402334 8501103501 9273931092 11334804668 17002207002 25503310503 34004414004 51006621006 102013242012