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103301202000 = 2435330756081
BaseRepresentation
bin110000000110100111…
…0110100000001010000
3100212122020102210001110
41200031032310001100
53143030101431000
6115242251133320
710314620505063
oct1401516640120
9325566383043
10103301202000
113a89a921017
121802b444240
139983722bc9
144ddd6708da
152a48e78850
hex180d3b4050

103301202000 has 160 divisors (see below), whose sum is σ = 334133864064. Its totient is φ = 27456768000.

The previous prime is 103301201989. The next prime is 103301202031. The reversal of 103301202000 is 202103301.

It is a happy number.

It is a super-2 number, since 2×1033012020002 (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 a congruent number.

It is an unprimeable number.

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, 1813960 + ... + 1870040.

Almost surely, 2103301202000 is an apocalyptic number.

103301202000 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 103301202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167066932032).

103301202000 is an abundant number, since it is smaller than the sum of its proper divisors (230832662064).

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

103301202000 is a wasteful number, since it uses less digits than its factorization.

103301202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56414 (or 56398 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103301202000 its reverse (202103301), we get a palindrome (103503305301).

It can be divided in two parts, 103 and 301202000, that added together give a palindrome (301202103).

The spelling of 103301202000 in words is "one hundred three billion, three hundred one million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 307 375 400 500 600 614 750 921 1000 1200 1228 1500 1535 1842 2000 2456 3000 3070 3684 4605 4912 6000 6140 7368 7675 9210 12280 14736 15350 18420 23025 24560 30700 36840 38375 46050 56081 61400 73680 76750 92100 112162 115125 122800 153500 168243 184200 224324 230250 280405 307000 336486 368400 448648 460500 560810 614000 672972 841215 897296 921000 1121620 1345944 1402025 1682430 1842000 2243240 2691888 2804050 3364860 4206075 4486480 5608100 6729720 7010125 8412150 11216200 13459440 14020250 16824300 17216867 21030375 22432400 28040500 33648600 34433734 42060750 51650601 56081000 67297200 68867468 84121500 86084335 103301202 112162000 137734936 168243000 172168670 206602404 258253005 275469872 336486000 344337340 413204808 430421675 516506010 688674680 826409616 860843350 1033012020 1291265025 1377349360 1721686700 2066024040 2152108375 2582530050 3443373400 4132048080 4304216750 5165060100 6456325125 6886746800 8608433500 10330120200 12912650250 17216867000 20660240400 25825300500 34433734000 51650601000 103301202000