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332020010012220 = 223353119833931303
BaseRepresentation
bin100101101111110000110111…
…0110000010100111000111100
31121112120210200100212010202000
41023133201232300110320330
5322004303440030342340
63134051515324302300
7126635440236031365
oct11337415660247074
91545523610763660
10332020010012220
11968789939a9742
12312a38516a1990
131133547787a33a
145bdbbd6002b6c
15285b9081acd30
hex12df86ec14e3c

332020010012220 has 96 divisors (see below), whose sum is σ = 1066272146903040. Its totient is φ = 85682583224640.

The previous prime is 332020010012179. The next prime is 332020010012237. The reversal of 332020010012220 is 22210010020233.

332020010012220 is a `hidden beast` number, since 3 + 320 + 20 + 0 + 100 + 1 + 2 + 220 = 666.

It is a super-2 number, since 2×3320200100122202 (a number of 30 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 = 332020010012193 and 332020010012202.

It is a congruent number.

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, 9916948912 + ... + 9916982391.

It is an arithmetic number, because the mean of its divisors is an integer number (11107001530240).

Almost surely, 2332020010012220 is an apocalyptic number.

332020010012220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332020010012220 is an abundant number, since it is smaller than the sum of its proper divisors (734252136890820).

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

332020010012220 is a wasteful number, since it uses less digits than its factorization.

332020010012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19833931352 (or 19833931344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 332020010012220 its reverse (22210010020233), we get a palindrome (354230020032453).

The spelling of 332020010012220 in words is "three hundred thirty-two trillion, twenty billion, ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 19833931303 39667862606 59501793909 79335725212 99169656515 119003587818 178505381727 198339313030 238007175636 297508969545 357010763454 396678626060 535516145181 595017939090 614851870393 714021526908 892526908635 1071032290362 1190035878180 1229703740786 1785053817270 1844555611179 2142064580724 2459407481572 2677580725905 3074259351965 3570107634540 3689111222358 5355161451810 5533666833537 6148518703930 7378222444716 9222778055895 10710322903620 11067333667074 12297037407860 16601000500611 18445556111790 22134667334148 27668334167685 33202001001222 36891112223580 55336668335370 66404002002444 83005002503055 110673336670740 166010005006110 332020010012220