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1010130133221 = 321143237286853
BaseRepresentation
bin11101011001100000111…
…00101010000011100101
310120120022201001111211100
432230300130222003211
5113022221303230341
62052014122230313
7132656652315066
oct16546034520345
93516281044740
101010130133221
1135a437142a20
1214392a655399
1374340c1a301
1436c679a256d
151b420c7c3b6
hexeb3072a0e5

1010130133221 has 24 divisors (see below), whose sum is σ = 1628736965856. Its totient is φ = 597962867040.

The previous prime is 1010130133141. The next prime is 1010130133249. The reversal of 1010130133221 is 1223310310101.

1010130133221 is a `hidden beast` number, since 1 + 0 + 10 + 1 + 301 + 332 + 21 = 666.

It is not a de Polignac number, because 1010130133221 - 215 = 1010130100453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010130133194 and 1010130133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010130133291) 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 23 ways as a sum of consecutive naturals, for example, 118639170 + ... + 118647683.

It is an arithmetic number, because the mean of its divisors is an integer number (67864040244).

Almost surely, 21010130133221 is an apocalyptic number.

1010130133221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010130133221 is a deficient number, since it is larger than the sum of its proper divisors (618606832635).

1010130133221 is a wasteful number, since it uses less digits than its factorization.

1010130133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237286913 (or 237286910 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1010130133221 its reverse (1223310310101), we get a palindrome (2233440443322).

The spelling of 1010130133221 in words is "one trillion, ten billion, one hundred thirty million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 237286853 711860559 2135581677 2610155383 7830466149 10203334679 23491398447 30610004037 91830012111 112236681469 336710044407 1010130133221