Search a number
-
+
1101210132 = 22311193711867
BaseRepresentation
bin100000110100011…
…0010001000010100
32211202010021022110
41001220302020110
54223402211012
6301134431020
736201063111
oct10150621024
92752107273
101101210132
11515671520
12268962470
131471b5739
14a6375908
1566a2473c
hex41a32214

1101210132 has 96 divisors (see below), whose sum is σ = 3030612480. Its totient is φ = 307566720.

The previous prime is 1101210109. The next prime is 1101210137. The reversal of 1101210132 is 2310121011.

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 (1101210137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86863 + ... + 98729.

It is an arithmetic number, because the mean of its divisors is an integer number (31568880).

Almost surely, 21101210132 is an apocalyptic number.

1101210132 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 1101210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515306240).

1101210132 is an abundant number, since it is smaller than the sum of its proper divisors (1929402348).

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

1101210132 is a wasteful number, since it uses less digits than its factorization.

1101210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11941 (or 11939 counting only the distinct ones).

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

The square root of 1101210132 is about 33184.4863151443. The cubic root of 1101210132 is about 1032.6585207267.

Adding to 1101210132 its reverse (2310121011), we get a palindrome (3411331143).

The spelling of 1101210132 in words is "one billion, one hundred one million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 209 222 228 407 418 444 627 703 814 836 1221 1254 1406 1628 2109 2442 2508 2812 4218 4884 7733 8436 11867 15466 23199 23734 30932 35601 46398 47468 71202 92796 130537 142404 225473 261074 391611 439079 450946 522148 676419 783222 878158 901892 1317237 1352838 1566444 1756316 2480203 2634474 2705676 4829869 4960406 5268948 7440609 8342501 9659738 9920812 14489607 14881218 16685002 19319476 25027503 28979214 29762436 33370004 50055006 57958428 91767511 100110012 183535022 275302533 367070044 550605066 1101210132