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121500633645 = 3252700014081
BaseRepresentation
bin111000100101000000…
…0001000101000101101
3102121121120212200212100
41301022000020220231
53442313130234040
6131452220125313
711530620226416
oct1611200105055
9377546780770
10121500633645
1147589a38416
121b66a396839
13b5c406bb81
145c4877280d
153261ac7b30
hex1c4a008a2d

121500633645 has 12 divisors (see below), whose sum is σ = 210601098396. Its totient is φ = 64800337920.

The previous prime is 121500633641. The next prime is 121500633677. The reversal of 121500633645 is 546336005121.

121500633645 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 0 + 6 + 3 + 3 + 645 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52975006569 + 68525627076 = 230163^2 + 261774^2 .

It is not a de Polignac number, because 121500633645 - 22 = 121500633641 is a prime.

It is a super-3 number, since 3×1215006336453 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121500633641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1350006996 + ... + 1350007085.

It is an arithmetic number, because the mean of its divisors is an integer number (17550091533).

Almost surely, 2121500633645 is an apocalyptic number.

121500633645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121500633645 is a deficient number, since it is larger than the sum of its proper divisors (89100464751).

121500633645 is a wasteful number, since it uses less digits than its factorization.

121500633645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700014092 (or 2700014089 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 121500633645 its reverse (546336005121), we get a palindrome (667836638766).

The spelling of 121500633645 in words is "one hundred twenty-one billion, five hundred million, six hundred thirty-three thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 2700014081 8100042243 13500070405 24300126729 40500211215 121500633645