Search a number
-
+
1102002132 = 2237113373539
BaseRepresentation
bin100000110101111…
…0011011111010100
32211210121111201210
41001223303133110
54224103032012
6301203421420
736210602130
oct10153633724
92753544653
101102002132
11516062570
12269084870
1314740208a
14a65003c0
1566b2e23c
hex41af37d4

1102002132 has 96 divisors (see below), whose sum is σ = 3216245760. Its totient is φ = 285304320.

The previous prime is 1102002089. The next prime is 1102002133. The reversal of 1102002132 is 2312002011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102002133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309619 + ... + 313157.

It is an arithmetic number, because the mean of its divisors is an integer number (33502560).

Almost surely, 21102002132 is an apocalyptic number.

1102002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608122880).

1102002132 is an abundant number, since it is smaller than the sum of its proper divisors (2114243628).

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

1102002132 is a wasteful number, since it uses less digits than its factorization.

1102002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1102002132 is about 33196.4174573101. The cubic root of 1102002132 is about 1032.9060270930.

Adding to 1102002132 its reverse (2312002011), we get a palindrome (3414004143).

The spelling of 1102002132 in words is "one billion, one hundred two million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 337 462 674 924 1011 1348 2022 2359 3539 3707 4044 4718 7077 7078 7414 9436 10617 11121 14154 14156 14828 21234 22242 24773 25949 28308 38929 42468 44484 49546 51898 74319 77847 77858 99092 103796 116787 148638 155694 155716 233574 272503 297276 311388 467148 545006 817509 1090012 1192643 1635018 2385286 3270036 3577929 4770572 7155858 8348501 13119073 14311716 16697002 25045503 26238146 33394004 39357219 50091006 52476292 78714438 91833511 100182012 157428876 183667022 275500533 367334044 551001066 1102002132