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103302112012020 = 223252812042350969
BaseRepresentation
bin10111011111001111100101…
…101100001110011011110100
3111112202120210210122011022100
4113133033211230032123310
5102020000211133341040
61003412200215102100
730521221431135315
oct2737174554163364
9445676723564270
10103302112012020
112aa081a8172029
12b704784371930
134584469209bac
141b71bc554260c
15be21d1d0db30
hex5df3e5b0e6f4

103302112012020 has 72 divisors (see below), whose sum is σ = 314464863552840. Its totient is φ = 27449197009920.

The previous prime is 103302112012009. The next prime is 103302112012069. The reversal of 103302112012020 is 20210211203301.

103302112012020 is a `hidden beast` number, since 1 + 0 + 330 + 211 + 2 + 0 + 120 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2365087197456 + 100937024814564 = 1537884^2 + 10046742^2 .

It is a super-2 number, since 2×1033021120120202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103302112011984 and 103302112012002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021124905 + ... + 1021226064.

It is an arithmetic number, because the mean of its divisors is an integer number (4367567549345).

Almost surely, 2103302112012020 is an apocalyptic number.

103302112012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103302112012020 is an abundant number, since it is smaller than the sum of its proper divisors (211162751540820).

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

103302112012020 is a wasteful number, since it uses less digits than its factorization.

103302112012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042351265 (or 2042351260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103302112012020 its reverse (20210211203301), we get a palindrome (123512323215321).

The spelling of 103302112012020 in words is "one hundred three trillion, three hundred two billion, one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1124 1405 1686 2529 2810 3372 4215 5058 5620 8430 10116 12645 16860 25290 50580 2042350969 4084701938 6127052907 8169403876 10211754845 12254105814 18381158721 20423509690 24508211628 30635264535 36762317442 40847019380 61270529070 73524634884 91905793605 122541058140 183811587210 367623174420 573900622289 1147801244578 1721701866867 2295602489156 2869503111445 3443403733734 5165105600601 5739006222890 6886807467468 8608509334335 10330211201202 11478012445780 17217018668670 20660422402404 25825528003005 34434037337340 51651056006010 103302112012020