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120310001020 = 225111301420341
BaseRepresentation
bin111000000001100001…
…0001110110101111100
3102111112121111021221201
41300003002032311330
53432343330013040
6131134124505244
711456252064316
oct1600302166574
9374477437851
10120310001020
114702894a510
121b3976ab224
13b4644a7321
145b745a07b6
1531e22dca9a
hex1c0308ed7c

120310001020 has 48 divisors (see below), whose sum is σ = 275831783136. Its totient is φ = 43715360000.

The previous prime is 120310000969. The next prime is 120310001041. The reversal of 120310001020 is 20100013021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120310000988 and 120310001006.

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 15 ways as a sum of consecutive naturals, for example, 76050 + ... + 496390.

It is an arithmetic number, because the mean of its divisors is an integer number (5746495482).

Almost surely, 2120310001020 is an apocalyptic number.

120310001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120310001020 is an abundant number, since it is smaller than the sum of its proper divisors (155521782116).

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

120310001020 is a wasteful number, since it uses less digits than its factorization.

120310001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421662 (or 421660 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 120310001020 its reverse (20100013021), we get a palindrome (140410014041).

The spelling of 120310001020 in words is "one hundred twenty billion, three hundred ten million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1301 2602 5204 6505 13010 14311 26020 28622 57244 71555 143110 286220 420341 840682 1681364 2101705 4203410 4623751 8406820 9247502 18495004 23118755 46237510 92475020 546863641 1093727282 2187454564 2734318205 5468636410 6015500051 10937272820 12031000102 24062000204 30077500255 60155000510 120310001020