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1211132988 = 22321323373041
BaseRepresentation
bin100100000110000…
…0110110000111100
310010101221221010100
41020030012300330
54440022223423
6320102441100
742004313652
oct11014066074
93111857110
101211132988
1157172015a
12299733190
13163bc1950
14b6bcadd2
15714d9343
hex48306c3c

1211132988 has 144 divisors (see below), whose sum is σ = 3534463296. Its totient is φ = 346705920.

The previous prime is 1211132987. The next prime is 1211133013. The reversal of 1211132988 is 8892311121.

It is a happy number.

It is a super-2 number, since 2×12111329882 = 2933686229243616288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211132987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396748 + ... + 399788.

It is an arithmetic number, because the mean of its divisors is an integer number (24544884).

Almost surely, 21211132988 is an apocalyptic number.

1211132988 is a gapful number since it is divisible by the number (18) 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 1211132988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767231648).

1211132988 is an abundant number, since it is smaller than the sum of its proper divisors (2323330308).

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

1211132988 is a wasteful number, since it uses less digits than its factorization.

1211132988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3119 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1211132988 is about 34801.3360088374. The cubic root of 1211132988 is about 1065.9347265513.

The spelling of 1211132988 in words is "one billion, two hundred eleven million, one hundred thirty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 37 39 46 52 69 74 78 92 111 117 138 148 156 207 222 234 276 299 333 414 444 468 481 598 666 828 851 897 962 1196 1332 1443 1702 1794 1924 2553 2691 2886 3041 3404 3588 4329 5106 5382 5772 6082 7659 8658 9123 10212 10764 11063 12164 15318 17316 18246 22126 27369 30636 33189 36492 39533 44252 54738 66378 69943 79066 99567 109476 112517 118599 132756 139886 158132 199134 209829 225034 237198 279772 337551 355797 398268 419658 450068 474396 629487 675102 711594 839316 909259 1012653 1258974 1350204 1423188 1462721 1818518 2025306 2517948 2587891 2727777 2925442 3637036 4050612 4388163 5175782 5455554 5850884 7763673 8183331 8776326 10351564 10911108 13164489 15527346 16366662 17552652 23291019 26328978 31054692 32733324 33642583 46582038 52657956 67285166 93164076 100927749 134570332 201855498 302783247 403710996 605566494 1211132988