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20101220032332 = 2232075098072429
BaseRepresentation
bin1001001001000001011100…
…00101000101111101001100
32122011122202120210220122010
410210200232011011331030
510113314244312013312
6110430212322421220
74143156654060645
oct444405605057514
978148676726563
1020101220032332
11644a97474151a
122307901b01810
13b2a6c97ac9aa
144d6c933446cc
1524cd2b26693c
hex12482e145f4c

20101220032332 has 24 divisors (see below), whose sum is σ = 46903078580400. Its totient is φ = 6700373557696.

The previous prime is 20101220032307. The next prime is 20101220032339. The reversal of 20101220032332 is 23323002210102.

It is a happy number.

It is a super-3 number, since 3×201012200323323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20101220032299 and 20101220032308.

It is not an unprimeable number, because it can be changed into a prime (20101220032339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1546107 + ... + 6526322.

It is an arithmetic number, because the mean of its divisors is an integer number (1954294940850).

Almost surely, 220101220032332 is an apocalyptic number.

It is an amenable number.

20101220032332 is an abundant number, since it is smaller than the sum of its proper divisors (26801858548068).

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

20101220032332 is a wasteful number, since it uses less digits than its factorization.

20101220032332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279945 (or 8279943 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20101220032332 its reverse (23323002210102), we get a palindrome (43424222242434).

The spelling of 20101220032332 in words is "twenty trillion, one hundred one billion, two hundred twenty million, thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 207509 415018 622527 830036 1245054 2490108 8072429 16144858 24217287 32289716 48434574 96869148 1675101669361 3350203338722 5025305008083 6700406677444 10050610016166 20101220032332