Search a number
-
+
10054202312151 = 310859919801
BaseRepresentation
bin1001001001001110110100…
…1010000100010111010111
31022121011122122110000000000
42102103231022010113113
52304212001242442101
633214500424422343
72055251335401054
oct222235512042727
938534578400000
1010054202312151
113226a66102418
1211646a40179b3
1357c15170348a
1426a8a99d802b
151267ed6c2486
hex924ed2845d7

10054202312151 has 44 divisors (see below), whose sum is σ = 15083733895600. Its totient is φ = 6701683586400.

The previous prime is 10054202312131. The next prime is 10054202312173. The reversal of 10054202312151 is 15121320245001.

It is a happy number.

10054202312151 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 420 + 23 + 1 + 215 + 1 = 666.

It is not a de Polignac number, because 10054202312151 - 221 = 10054200214999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054202312131) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 507752451 + ... + 507772251.

Almost surely, 210054202312151 is an apocalyptic number.

10054202312151 is a deficient number, since it is larger than the sum of its proper divisors (5029531583449).

10054202312151 is an frugal number, since it uses more digits than its factorization.

10054202312151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28430 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10054202312151 its reverse (15121320245001), we get a palindrome (25175522557152).

The spelling of 10054202312151 in words is "ten trillion, fifty-four billion, two hundred two million, three hundred twelve thousand, one hundred fifty-one".

Divisors: 1 3 9 27 81 243 729 2187 6561 8599 19683 19801 25797 59049 59403 77391 178209 232173 534627 696519 1603881 2089557 4811643 6268671 14434929 18806013 43304787 56418039 129914361 169254117 170268799 389743083 507762351 510806397 1169229249 1532419191 4597257573 13791772719 41375318157 124125954471 372377863413 1117133590239 3351400770717 10054202312151