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32121041012300 = 22523112318417243
BaseRepresentation
bin1110100110110110000110…
…01111010100011001001100
311012201202000120120010100202
413103123003033110121030
513202232342444343200
6152152111425113032
76523445224463042
oct723330317243114
9135652016503322
1032121041012300
11a2645032919a9
123729333788778
1314c0002757396
147d0949528392
153aa81e3401d5
hex1d36c33d464c

32121041012300 has 72 divisors (see below), whose sum is σ = 72009589757952. Its totient is φ = 12423849192000.

The previous prime is 32121041012267. The next prime is 32121041012303. The reversal of 32121041012300 is 321014012123.

It is a super-2 number, since 2×321210410123002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32121041012303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392522 + ... + 8024721.

Almost surely, 232121041012300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32121041012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36004794878976).

32121041012300 is an abundant number, since it is smaller than the sum of its proper divisors (39888548745652).

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

32121041012300 is a wasteful number, since it uses less digits than its factorization.

32121041012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418519 (or 8418512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 32121041012300 its reverse (321014012123), we get a palindrome (32442055024423).

The spelling of 32121041012300 in words is "thirty-two trillion, one hundred twenty-one billion, forty-one million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1231 1550 2462 3100 4924 6155 12310 24620 30775 38161 61550 76322 123100 152644 190805 381610 763220 954025 1908050 3816100 8417243 16834486 33668972 42086215 84172430 168344860 210431075 260934533 420862150 521869066 841724300 1043738132 1304672665 2609345330 5218690660 6523363325 10361626133 13046726650 20723252266 26093453300 41446504532 51808130665 103616261330 207232522660 259040653325 321210410123 518081306650 642420820246 1036162613300 1284841640492 1606052050615 3212104101230 6424208202460 8030260253075 16060520506150 32121041012300