Search a number
-
+
10021132131221 = 433115419138283
BaseRepresentation
bin1001000111010011101000…
…0001010101101110010101
31022111000021221001202011002
42101310322001111232111
52303141234311144341
633151351115553045
72053000665450311
oct221647201255625
938430257052132
1010021132131221
113213a35923a82
12115a1b4a5b785
13578cb1253b93
1426904d918b41
15125a1529029b
hex91d3a055b95

10021132131221 has 16 divisors (see below), whose sum is σ = 10289126115840. Its totient is φ = 9754738625520.

The previous prime is 10021132131217. The next prime is 10021132131251. The reversal of 10021132131221 is 12213123112001.

It is not a de Polignac number, because 10021132131221 - 22 = 10021132131217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021132131193 and 10021132131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021132131251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72399146 + ... + 72537428.

It is an arithmetic number, because the mean of its divisors is an integer number (643070382240).

Almost surely, 210021132131221 is an apocalyptic number.

It is an amenable number.

10021132131221 is a deficient number, since it is larger than the sum of its proper divisors (267993984619).

10021132131221 is a wasteful number, since it uses less digits than its factorization.

10021132131221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144056.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10021132131221 its reverse (12213123112001), we get a palindrome (22234255243222).

The spelling of 10021132131221 in words is "ten trillion, twenty-one billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 43 311 5419 13373 138283 233017 1685309 5946169 43006013 72468287 749355577 1849258559 32222289811 233049584447 10021132131221