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100330302000 = 2435317339649
BaseRepresentation
bin101110101110000100…
…1101110101000110000
3100120222012011102102010
41131130021232220300
53120434024131000
6114031402322520
710151164332045
oct1353411565060
9316865142363
10100330302000
1139605926965
12175404b9440
1395cc089b06
144bdac811cc
152923231d50
hex175c26ea30

100330302000 has 160 divisors (see below), whose sum is σ = 323685086400. Its totient is φ = 26736537600.

The previous prime is 100330301969. The next prime is 100330302031. The reversal of 100330302000 is 203033001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100330301969) and next prime (100330302031).

It is a super-2 number, since 2×1003303020002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10393176 + ... + 10402824.

It is an arithmetic number, because the mean of its divisors is an integer number (2023031790).

Almost surely, 2100330302000 is an apocalyptic number.

100330302000 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 100330302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161842543200).

100330302000 is an abundant number, since it is smaller than the sum of its proper divisors (223354784400).

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

100330302000 is a wasteful number, since it uses less digits than its factorization.

100330302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408 (or 11392 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 100330302000 its reverse (203033001), we get a palindrome (100533335001).

The spelling of 100330302000 in words is "one hundred billion, three hundred thirty million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1733 2000 3000 3466 5199 6000 6932 8665 9649 10398 13864 17330 19298 20796 25995 27728 28947 34660 38596 41592 43325 48245 51990 57894 69320 77192 83184 86650 96490 103980 115788 129975 138640 144735 154384 173300 192980 207960 216625 231576 241225 259950 289470 346600 385960 415920 433250 463152 482450 519900 578940 649875 693200 723675 771920 866500 964900 1039800 1157880 1206125 1299750 1447350 1733000 1929800 2079600 2315760 2412250 2599500 2894700 3466000 3618375 3859600 4824500 5199000 5789400 7236750 9649000 10398000 11578800 14473500 16721717 19298000 28947000 33443434 50165151 57894000 66886868 83608585 100330302 133773736 167217170 200660604 250825755 267547472 334434340 401321208 418042925 501651510 668868680 802642416 836085850 1003303020 1254128775 1337737360 1672171700 2006606040 2090214625 2508257550 3344343400 4013212080 4180429250 5016515100 6270643875 6688686800 8360858500 10033030200 12541287750 16721717000 20066060400 25082575500 33443434000 50165151000 100330302000