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103030330032 = 24327731400173
BaseRepresentation
bin101111111110100010…
…1100001001010110000
3100211221100202001120100
41133331011201022300
53142001231030112
6115155333312400
710305121232640
oct1377505411260
9324840661510
10103030330032
113a770a31993
1217b74795700
13993c583236
144db56c0520
152a302c02dc
hex17fd1612b0

103030330032 has 120 divisors (see below), whose sum is σ = 334047912224. Its totient is φ = 29033966592.

The previous prime is 103030330021. The next prime is 103030330049. The reversal of 103030330032 is 230033030301.

103030330032 is a `hidden beast` number, since 1 + 0 + 30 + 303 + 300 + 32 = 666.

It is a super-2 number, since 2×1030303300322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103030329987 and 103030330014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626503 + ... + 773670.

Almost surely, 2103030330032 is an apocalyptic number.

103030330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103030330032 is an abundant number, since it is smaller than the sum of its proper divisors (231017582192).

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

103030330032 is a wasteful number, since it uses less digits than its factorization.

103030330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400267 (or 1400258 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 103030330032 its reverse (230033030301), we get a palindrome (333063360333).

The spelling of 103030330032 in words is "one hundred three billion, thirty million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 73 84 112 126 144 146 168 219 252 292 336 438 504 511 584 657 876 1008 1022 1168 1314 1533 1752 2044 2628 3066 3504 4088 4599 5256 6132 8176 9198 10512 12264 18396 24528 36792 73584 1400173 2800346 4200519 5600692 8401038 9801211 11201384 12601557 16802076 19602422 22402768 25203114 29403633 33604152 39204844 50406228 58807266 67208304 78409688 88210899 100812456 102212629 117614532 156819376 176421798 201624912 204425258 235229064 306637887 352843596 408850516 470458128 613275774 705687192 715488403 817701032 919913661 1226551548 1411374384 1430976806 1635402064 1839827322 2146465209 2453103096 2861953612 3679654644 4292930418 4906206192 5723907224 6439395627 7359309288 8585860836 11447814448 12878791254 14718618576 17171721672 25757582508 34343443344 51515165016 103030330032