Search a number
-
+
10201134000402 = 232175929576857
BaseRepresentation
bin1001010001110010001011…
…1101111110100100010010
31100010012220120100010102200
42110130202331332210102
52314113410301003102
633410200344424030
72102002416214032
oct224344275764422
940105816303380
1010201134000402
113283305222534
12118906b178016
1358cc693a1147
14273a47a7d8c2
1512a54cc1751c
hex94722f7e912

10201134000402 has 72 divisors (see below), whose sum is σ = 23805981232956. Its totient is φ = 3146112118272.

The previous prime is 10201134000331. The next prime is 10201134000427. The reversal of 10201134000402 is 20400043110201.

10201134000402 is a `hidden beast` number, since 10 + 201 + 13 + 40 + 0 + 0 + 402 = 666.

10201134000402 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 2 ways, for example, as 9900644747841 + 300489252561 = 3146529^2 + 548169^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3723243 + ... + 5853614.

Almost surely, 210201134000402 is an apocalyptic number.

10201134000402 is an abundant number, since it is smaller than the sum of its proper divisors (13604847232554).

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

10201134000402 is a wasteful number, since it uses less digits than its factorization.

10201134000402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577000 (or 9576938 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10201134000402 its reverse (20400043110201), we get a palindrome (30601177110603).

The spelling of 10201134000402 in words is "ten trillion, two hundred one billion, one hundred thirty-four million, four hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 2006 3009 3481 6018 6962 9027 10443 18054 20886 31329 59177 62658 118354 177531 355062 532593 1065186 9576857 19153714 28730571 57461142 86191713 162806569 172383426 325613138 488419707 565034563 976839414 1130069126 1465259121 1695103689 2930518242 3390207378 5085311067 9605587571 10170622134 19211175142 28816762713 33337039217 57633525426 66674078434 86450288139 100011117651 172900576278 200022235302 300033352953 566729666689 600066705906 1133459333378 1700189000067 3400378000134 5100567000201 10201134000402