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157551721101 = 32291553388697
BaseRepresentation
bin1001001010111011010…
…0000111101010001101
3120001200001100200201200
42102232310013222031
510040131220033401
6200213412100113
714245164350565
oct2225664075215
9501601320650
10157551721101
11608a9925a75
122664b904639
1311b1ac79098
1478a86c7da5
154171a7b686
hex24aed07a8d

157551721101 has 24 divisors (see below), whose sum is σ = 235574309880. Its totient is φ = 101347040256.

The previous prime is 157551721087. The next prime is 157551721139. The reversal of 157551721101 is 101127155751.

157551721101 is a `hidden beast` number, since 1 + 575 + 5 + 1 + 72 + 1 + 10 + 1 = 666.

157551721101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20270355876 + 137281365225 = 142374^2 + 370515^2 .

It is not a de Polignac number, because 157551721101 - 210 = 157551720077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157551721141) 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, 210985 + ... + 599681.

It is an arithmetic number, because the mean of its divisors is an integer number (9815596245).

Almost surely, 2157551721101 is an apocalyptic number.

It is an amenable number.

157551721101 is a deficient number, since it is larger than the sum of its proper divisors (78022588779).

157551721101 is a wasteful number, since it uses less digits than its factorization.

157551721101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390285 (or 390282 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 36.

Adding to 157551721101 its reverse (101127155751), we get a palindrome (258678876852).

The spelling of 157551721101 in words is "one hundred fifty-seven billion, five hundred fifty-one million, seven hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 29 87 261 1553 4659 13977 45037 135111 388697 405333 1166091 3498273 11272213 33816639 101449917 603646441 1810939323 5432817969 17505746789 52517240367 157551721101