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100003002112 = 28131714911863
BaseRepresentation
bin101110100100010100…
…1001011011100000000
3100120010101021212101001
41131020221023130000
53114301232031422
6113535111221344
710140111331006
oct1351051133400
9316111255331
10100003002112
11394580a6692
121746a977854
139579321040
144ba9602a76
15290462e227
hex1748a4b700

100003002112 has 144 divisors (see below), whose sum is σ = 229162651200. Its totient is φ = 43145035776.

The previous prime is 100003002079. The next prime is 100003002131. The reversal of 100003002112 is 211200300001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8423893 + ... + 8435755.

It is an arithmetic number, because the mean of its divisors is an integer number (1591407300).

Almost surely, 2100003002112 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 100003002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114581325600).

100003002112 is an abundant number, since it is smaller than the sum of its proper divisors (129159649088).

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

100003002112 is a wasteful number, since it uses less digits than its factorization.

100003002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058 (or 12044 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100003002112 its reverse (211200300001), we get a palindrome (311203302113).

The spelling of 100003002112 in words is "one hundred billion, three million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 149 208 221 256 272 298 416 442 544 596 832 884 1088 1192 1664 1768 1937 2176 2384 2533 3328 3536 3874 4352 4768 5066 7072 7748 9536 10132 11863 14144 15496 19072 20264 23726 28288 30992 32929 38144 40528 47452 56576 61984 65858 81056 94904 123968 131716 154219 162112 189808 201671 247936 263432 308438 324224 379616 403342 495872 526864 616876 648448 759232 806684 1053728 1233752 1518464 1613368 1767587 2107456 2467504 2621723 3036928 3226736 3535174 4214912 4935008 5243446 6453472 7070348 8429824 9870016 10486892 12906944 14140696 19740032 20973784 22978631 25813888 28281392 30048979 39480064 41947568 45957262 51627776 56562784 60097958 83895136 91914524 113125568 120195916 167790272 183829048 226251136 240391832 335580544 367658096 390636727 452502272 480783664 671161088 735316192 781273454 961567328 1470632384 1562546908 1923134656 2941264768 3125093816 3846269312 5882529536 6250187632 7692538624 12500375264 25000750528 50001501056 100003002112