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1100010132 = 2234131791459
BaseRepresentation
bin100000110010000…
…1101001010010100
32211122212022020000
41001210031022110
54223100311012
6301053011300
736154634424
oct10144151224
92748768200
101100010132
11514a21991
12268483b30
13146b85490
14a6142484
1566888ddc
hex4190d294

1100010132 has 120 divisors (see below), whose sum is σ = 3116282400. Its totient is φ = 336343104.

The previous prime is 1100010113. The next prime is 1100010151. The reversal of 1100010132 is 2310100011.

It is an interprime number because it is at equal distance from previous prime (1100010113) and next prime (1100010151).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 753219 + ... + 754677.

It is an arithmetic number, because the mean of its divisors is an integer number (25969020).

Almost surely, 21100010132 is an apocalyptic number.

1100010132 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 1100010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558141200).

1100010132 is an abundant number, since it is smaller than the sum of its proper divisors (2016272268).

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

1100010132 is a wasteful number, since it uses less digits than its factorization.

1100010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100010132 is about 33166.4006488494. The cubic root of 1100010132 is about 1032.2832848594.

Adding to 1100010132 its reverse (2310100011), we get a palindrome (3410110143).

The spelling of 1100010132 in words is "one billion, one hundred million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 179 234 324 351 358 468 537 702 716 1053 1074 1404 1459 1611 2106 2148 2327 2918 3222 4212 4377 4654 4833 5836 6444 6981 8754 9308 9666 13131 13962 14499 17508 18967 19332 20943 26262 27924 28998 37934 39393 41886 52524 56901 57996 62829 75868 78786 83772 113802 118179 125658 157572 170703 188487 227604 236358 251316 261161 341406 376974 472716 512109 522322 682812 753948 783483 1024218 1044644 1536327 1566966 2048436 2350449 3072654 3133932 3395093 4700898 6145308 6790186 7051347 9401796 10185279 13580372 14102694 20370558 21154041 28205388 30555837 40741116 42308082 61111674 84616164 91667511 122223348 183335022 275002533 366670044 550005066 1100010132