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1131002172 = 2232471993359
BaseRepresentation
bin100001101101001…
…1011100100111100
32220211011212022100
41003122123210330
54304014032142
6304121145100
740012234266
oct10332334474
92824155270
101131002172
1153046a743
1227692b190
13150416b71
14aa2ccb36
156945bb4c
hex4369b93c

1131002172 has 72 divisors (see below), whose sum is σ = 2935296000. Its totient is φ = 367015968.

The previous prime is 1131002167. The next prime is 1131002209. The reversal of 1131002172 is 2712001311.

It is a happy number.

1131002172 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 335029 + ... + 338387.

It is an arithmetic number, because the mean of its divisors is an integer number (40768000).

Almost surely, 21131002172 is an apocalyptic number.

1131002172 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 1131002172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648000).

1131002172 is an abundant number, since it is smaller than the sum of its proper divisors (1804293828).

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

1131002172 is a wasteful number, since it uses less digits than its factorization.

1131002172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1131002172 is about 33630.3757338511. The cubic root of 1131002172 is about 1041.8882645381. Note that the first 3 decimals are identical.

Adding to 1131002172 its reverse (2712001311), we get a palindrome (3843003483).

The spelling of 1131002172 in words is "one billion, one hundred thirty-one million, two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 199 282 398 423 564 597 796 846 1194 1692 1791 2388 3359 3582 6718 7164 9353 10077 13436 18706 20154 28059 30231 37412 40308 56118 60462 84177 112236 120924 157873 168354 315746 336708 473619 631492 668441 947238 1336882 1420857 1894476 2005323 2673764 2841714 4010646 5683428 6015969 8021292 12031938 24063876 31416727 62833454 94250181 125666908 188500362 282750543 377000724 565501086 1131002172