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2012312200032 = 253223303791093
BaseRepresentation
bin11101010010000111001…
…001110110001101100000
321010101010111102102020200
4131102013021312031200
5230432203410400112
64140235442105200
7265245654323001
oct35220711661540
97111114372220
102012312200032
11706464859a12
12285bbb34b200
131179b62a8a34
146d579b391a8
1537528d6bcdc
hex1d487276360

2012312200032 has 72 divisors (see below), whose sum is σ = 5971317743664. Its totient is φ = 641606786304.

The previous prime is 2012312200021. The next prime is 2012312200033. The reversal of 2012312200032 is 2300022132102.

2012312200032 is a `hidden beast` number, since 201 + 231 + 2 + 200 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2012312199978 and 2012312200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012312200033) 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 11 ways as a sum of consecutive naturals, for example, 151888923 + ... + 151902170.

It is an arithmetic number, because the mean of its divisors is an integer number (82934968662).

Almost surely, 22012312200032 is an apocalyptic number.

It is an amenable number.

2012312200032 is an abundant number, since it is smaller than the sum of its proper divisors (3959005543632).

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

2012312200032 is a wasteful number, since it uses less digits than its factorization.

2012312200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303791132 (or 303791121 counting only the distinct ones).

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

Adding to 2012312200032 its reverse (2300022132102), we get a palindrome (4312334332134).

The spelling of 2012312200032 in words is "two trillion, twelve billion, three hundred twelve million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 303791093 607582186 911373279 1215164372 1822746558 2430328744 2734119837 3645493116 4860657488 5468239674 6987195139 7290986232 9721314976 10936479348 13974390278 14581972464 20961585417 21872958696 27948780556 29163944928 41923170834 43745917392 55897561112 62884756251 83846341668 87491834784 111795122224 125769512502 167692683336 223590244448 251539025004 335385366672 503078050008 670770733344 1006156100016 2012312200032