Search a number
-
+
10010153310354 = 234617100147601
BaseRepresentation
bin1001000110101010101110…
…1000011101100010010010
31022102221221210110212020000
42101222223220131202102
52303001243221412404
633142333445430430
72052131634144231
oct221525350354222
938387853425200
1010010153310354
11320a3116413aa
12115805010b416
13577c51833582
142686cb79cb18
151255c14d6339
hex91aaba1d892

10010153310354 has 40 divisors (see below), whose sum is σ = 22466512147068. Its totient is φ = 3331309766400.

The previous prime is 10010153310347. The next prime is 10010153310361. The reversal of 10010153310354 is 45301335101001.

It is a happy number.

10010153310354 is a `hidden beast` number, since 10 + 0 + 10 + 1 + 533 + 103 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10010153310347) and next prime (10010153310361).

It can be written as a sum of positive squares in 2 ways, for example, as 8759368302129 + 1250785008225 = 2959623^2 + 1118385^2 .

It is a super-2 number, since 2×100101533103542 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49973847 + ... + 50173754.

Almost surely, 210010153310354 is an apocalyptic number.

10010153310354 is an abundant number, since it is smaller than the sum of its proper divisors (12456358836714).

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

10010153310354 is a wasteful number, since it uses less digits than its factorization.

10010153310354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100148232 (or 100148223 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 10010153310354 its reverse (45301335101001), we get a palindrome (55311488411355).

The spelling of 10010153310354 in words is "ten trillion, ten billion, one hundred fifty-three million, three hundred ten thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 617 1234 1851 3702 5553 11106 16659 33318 49977 99954 100147601 200295202 300442803 600885606 901328409 1802656818 2703985227 5407970454 8111955681 16223911362 61791069817 123582139634 185373209451 370746418902 556119628353 1112239256706 1668358885059 3336717770118 5005076655177 10010153310354