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1010232121320 = 233252806200337
BaseRepresentation
bin11101011001101101000…
…01101101011111101000
310120120120210222001012100
432230312201231133220
5113022423410340240
62052032204213400
7132662331230352
oct16546641553750
93516523861170
101010232121320
1135a489772104
1214395883a260
13743590a89b6
1436c773500d2
151b429bc5e30
hexeb3686d7e8

1010232121320 has 48 divisors (see below), whose sum is σ = 3283254395460. Its totient is φ = 269395232256.

The previous prime is 1010232121253. The next prime is 1010232121361. The reversal of 1010232121320 is 231212320101.

1010232121320 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 321 + 21 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1010230030404 + 2090916 = 1005102^2 + 1446^2 .

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 = 1010232121293 and 1010232121302.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1403099809 + ... + 1403100528.

Almost surely, 21010232121320 is an apocalyptic number.

1010232121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010232121320 is an abundant number, since it is smaller than the sum of its proper divisors (2273022274140).

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

1010232121320 is a wasteful number, since it uses less digits than its factorization.

1010232121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806200354 (or 2806200347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010232121320 its reverse (231212320101), we get a palindrome (1241444441421).

The spelling of 1010232121320 in words is "one trillion, ten billion, two hundred thirty-two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2806200337 5612400674 8418601011 11224801348 14031001685 16837202022 22449602696 25255803033 28062003370 33674404044 42093005055 50511606066 56124006740 67348808088 84186010110 101023212132 112248013480 126279015165 168372020220 202046424264 252558030330 336744040440 505116060660 1010232121320