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10157101821 = 321847611027
BaseRepresentation
bin10010111010110100…
…10001001011111101
3222012212101020022100
421131122101023331
5131300204224241
64355513535313
7506462640516
oct113532211375
928185336270
1010157101821
114342467a29
121b75714539
13c5b404a29
146c4d79a0d
153e6a919b6
hex25d6912fd

10157101821 has 12 divisors (see below), whose sum is σ = 14679336672. Its totient is φ = 6767723976.

The previous prime is 10157101793. The next prime is 10157101873. The reversal of 10157101821 is 12810175101.

10157101821 is a `hidden beast` number, since 10 + 1 + 571 + 0 + 1 + 82 + 1 = 666.

It is not a de Polignac number, because 10157101821 - 25 = 10157101789 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157101121) 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 11 ways as a sum of consecutive naturals, for example, 288891 + ... + 322136.

It is an arithmetic number, because the mean of its divisors is an integer number (1223278056).

Almost surely, 210157101821 is an apocalyptic number.

It is an amenable number.

10157101821 is a deficient number, since it is larger than the sum of its proper divisors (4522234851).

10157101821 is a wasteful number, since it uses less digits than its factorization.

10157101821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612880 (or 612877 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 27.

Adding to 10157101821 its reverse (12810175101), we get a palindrome (22967276922).

The spelling of 10157101821 in words is "ten billion, one hundred fifty-seven million, one hundred one thousand, eight hundred twenty-one".

Divisors: 1 3 9 1847 5541 16623 611027 1833081 5499243 1128566869 3385700607 10157101821