Search a number
-
+
157620070100 = 22521576200701
BaseRepresentation
bin1001001011001011100…
…0110110011011010100
3120001211210222011221002
42102302320312123110
510040301214220400
6200224253042432
714246654330033
oct2226270663324
9501753864832
10157620070100
1160934469649
122666a786418
1311b2c18a28c
1478b37da71a
154177a7ced5
hex24b2e366d4

157620070100 has 18 divisors (see below), whose sum is σ = 342035552334. Its totient is φ = 63048028000.

The previous prime is 157620070057. The next prime is 157620070103. The reversal of 157620070100 is 1070026751.

157620070100 = T112280 + T112281 + ... + T112304.

157620070100 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 3 ways, for example, as 6639642256 + 150980427844 = 81484^2 + 388562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157620070103) 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 5 ways as a sum of consecutive naturals, for example, 788100251 + ... + 788100450.

Almost surely, 2157620070100 is an apocalyptic number.

157620070100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157620070100 is an abundant number, since it is smaller than the sum of its proper divisors (184415482234).

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

157620070100 is a wasteful number, since it uses less digits than its factorization.

157620070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576200715 (or 1576200708 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

Adding to 157620070100 its reverse (1070026751), we get a palindrome (158690096851).

The spelling of 157620070100 in words is "one hundred fifty-seven billion, six hundred twenty million, seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1576200701 3152401402 6304802804 7881003505 15762007010 31524014020 39405017525 78810035050 157620070100