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100324034300 = 22527612419749
BaseRepresentation
bin101110101101111000…
…1110100011011111100
3100120221202100222202002
41131123301310123330
53120430423044200
6114031020121432
710151060135630
oct1353361643374
9316852328662
10100324034300
1139602335946
121753a396278
1395ca9a4009
144bda0ccdc0
1529228e4bd5
hex175bc746fc

100324034300 has 144 divisors (see below), whose sum is σ = 253957704000. Its totient is φ = 33689088000.

The previous prime is 100324034297. The next prime is 100324034323. The reversal of 100324034300 is 3430423001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10285826 + ... + 10295574.

Almost surely, 2100324034300 is an apocalyptic number.

100324034300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100324034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126978852000).

100324034300 is an abundant number, since it is smaller than the sum of its proper divisors (153633669700).

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

100324034300 is a wasteful number, since it uses less digits than its factorization.

100324034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10065 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 100324034300 its reverse (3430423001), we get a palindrome (103754457301).

The spelling of 100324034300 in words is "one hundred billion, three hundred twenty-four million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 241 244 305 350 427 482 610 700 854 964 1205 1220 1525 1687 1708 2135 2410 3050 3374 4270 4820 6025 6100 6748 8435 8540 9749 10675 12050 14701 16870 19498 21350 24100 29402 33740 38996 42175 42700 48745 58804 68243 73505 84350 97490 102907 136486 147010 168700 194980 205814 243725 272972 294020 341215 367525 411628 487450 514535 594689 682430 735050 974900 1029070 1189378 1364860 1470100 1706075 2058140 2349509 2378756 2572675 2973445 3412150 4162823 4699018 5145350 5946890 6824300 8325646 9398036 10290700 11747545 11893780 14867225 16446563 16651292 20814115 23495090 29734450 32893126 41628230 46990180 58737725 59468900 65786252 82232815 83256460 104070575 117475450 143320049 164465630 208141150 234950900 286640098 328931260 411164075 416282300 573280196 716600245 822328150 1003240343 1433200490 1644656300 2006480686 2866400980 3583001225 4012961372 5016201715 7166002450 10032403430 14332004900 20064806860 25081008575 50162017150 100324034300