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32300102000 = 2453173372819
BaseRepresentation
bin11110000101001111…
…000111000101110000
310002101001100012011002
4132011033013011300
51012122311231000
622501035141132
72222266223405
oct360517070560
9102331305132
1032300102000
1112775624781
1263152a47a8
133079a747ba
1417c5b022ac
15c90a1a8d5
hex7853c7170

32300102000 has 160 divisors (see below), whose sum is σ = 82970671680. Its totient is φ = 12119654400.

The previous prime is 32300101993. The next prime is 32300102027. The reversal of 32300102000 is 20100323.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11456591 + ... + 11459409.

It is an arithmetic number, because the mean of its divisors is an integer number (518566698).

Almost surely, 232300102000 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 32300102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41485335840).

32300102000 is an abundant number, since it is smaller than the sum of its proper divisors (50670569680).

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

32300102000 is a wasteful number, since it uses less digits than its factorization.

32300102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 32300102000 its reverse (20100323), we get a palindrome (32320202323).

The spelling of 32300102000 in words is "thirty-two billion, three hundred million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 337 340 400 425 500 674 680 850 1000 1348 1360 1685 1700 2000 2125 2696 2819 3370 3400 4250 5392 5638 5729 6740 6800 8425 8500 11276 11458 13480 14095 16850 17000 22552 22916 26960 28190 28645 33700 34000 42125 45104 45832 47923 56380 57290 67400 70475 84250 91664 95846 112760 114580 134800 140950 143225 168500 191692 225520 229160 239615 281900 286450 337000 352375 383384 458320 479230 563800 572900 674000 704750 716125 766768 950003 958460 1127600 1145800 1198075 1409500 1432250 1900006 1916920 2291600 2396150 2819000 2864500 3800012 3833840 4750015 4792300 5638000 5729000 5990375 7600024 9500030 9584600 11458000 11980750 15200048 16150051 19000060 19169200 23750075 23961500 32300102 38000120 47500150 47923000 64600204 76000240 80750255 95000300 95846000 118750375 129200408 161500510 190000600 237500750 258400816 323001020 380001200 403751275 475001500 646002040 807502550 950003000 1292004080 1615005100 1900006000 2018756375 3230010200 4037512750 6460020400 8075025500 16150051000 32300102000