Search a number
-
+
1041535200132 = 2232715377268783
BaseRepresentation
bin11110010100000000101…
…01011110101110000100
310200120101101020012122200
433022000111132232010
5114031031002401012
62114250305554500
7135151133061660
oct17120025365604
93616341205580
101041535200132
11371792516579
12149a34045a30
13772a741623b
14385a687b8a0
151c15cdec3dc
hexf28055eb84

1041535200132 has 72 divisors (see below), whose sum is σ = 3009086336256. Its totient is φ = 297561026304.

The previous prime is 1041535200107. The next prime is 1041535200161. The reversal of 1041535200132 is 2310025351401.

1041535200132 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 3 + 520 + 0 + 132 = 666.

It is a super-2 number, since 2×10415352001322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1041535200096 and 1041535200105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3740613 + ... + 4009395.

Almost surely, 21041535200132 is an apocalyptic number.

1041535200132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1041535200132 is an abundant number, since it is smaller than the sum of its proper divisors (1967551136124).

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

1041535200132 is a wasteful number, since it uses less digits than its factorization.

1041535200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284177 (or 284172 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1041535200132 in words is "one trillion, forty-one billion, five hundred thirty-five million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 15377 30754 46131 61508 92262 107639 138393 184524 215278 268783 276786 322917 430556 537566 553572 645834 806349 968751 1075132 1291668 1612698 1881481 1937502 2419047 3225396 3762962 3875004 4838094 5644443 7525924 9676188 11288886 16933329 22577772 33866658 67733316 4133076191 8266152382 12399228573 16532304764 24798457146 28931533337 37197685719 49596914292 57863066674 74395371438 86794600011 115726133348 148790742876 173589200022 260383800033 347178400044 520767600066 1041535200132