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103233130008 = 233193133122063
BaseRepresentation
bin110000000100100101…
…1001000111000011000
3100212110111100100211120
41200021023020320120
53142410140130013
6115231420125240
710313133061341
oct1401113107030
9325414310746
10103233130008
113a865457578
1218010696820
1399725aab18
144dd45d10c8
152a42ece123
hex18092c8e18

103233130008 has 128 divisors (see below), whose sum is σ = 281289523200. Its totient is φ = 31451587200.

The previous prime is 103233129983. The next prime is 103233130009. The reversal of 103233130008 is 800031332301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103233130008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103233130009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4667985 + ... + 4690047.

It is an arithmetic number, because the mean of its divisors is an integer number (2197574400).

Almost surely, 2103233130008 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 103233130008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140644761600).

103233130008 is an abundant number, since it is smaller than the sum of its proper divisors (178056393192).

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

103233130008 is a wasteful number, since it uses less digits than its factorization.

103233130008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22453 (or 22449 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103233130008 its reverse (800031332301), we get a palindrome (903264462309).

The spelling of 103233130008 in words is "one hundred three billion, two hundred thirty-three million, one hundred thirty thousand, eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 331 372 456 589 662 744 993 1178 1324 1767 1986 2356 2648 3534 3972 4712 6289 7068 7944 10261 12578 14136 18867 20522 22063 25156 30783 37734 41044 44126 50312 61566 66189 75468 82088 88252 123132 132378 150936 176504 194959 246264 264756 389918 419197 529512 584877 683953 779836 838394 1169754 1257591 1367906 1559672 1676788 2051859 2339508 2515182 2735812 3353576 4103718 4679016 5030364 5471624 7302853 8207436 10060728 12995107 14605706 16414872 21908559 25990214 29211412 38985321 43817118 51980428 58422824 77970642 87634236 103960856 138754207 155941284 175268472 226388443 277508414 311882568 416262621 452776886 555016828 679165329 832525242 905553772 1110033656 1358330658 1665050484 1811107544 2716661316 3330100968 4301380417 5433322632 8602760834 12904141251 17205521668 25808282502 34411043336 51616565004 103233130008