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1000111332 = 22311371931061
BaseRepresentation
bin111011100111000…
…111110011100100
32120200212220211110
4323213013303210
54022012030312
6243123505020
733532543323
oct7347076344
92520786743
101000111332
1147359a4a0
1223ab28170
1312c278a6c
1496b7a0ba
155cc0443c
hex3b9c7ce4

1000111332 has 96 divisors (see below), whose sum is σ = 2630565504. Its totient is φ = 293068800.

The previous prime is 1000111327. The next prime is 1000111349. The reversal of 1000111332 is 2331110001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942082 + ... + 943142.

It is an arithmetic number, because the mean of its divisors is an integer number (27401724).

Almost surely, 21000111332 is an apocalyptic number.

1000111332 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 1000111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315282752).

1000111332 is an abundant number, since it is smaller than the sum of its proper divisors (1630454172).

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

1000111332 is a wasteful number, since it uses less digits than its factorization.

1000111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1000111332 is about 31624.5368661740. The cubic root of 1000111332 is about 1000.0371092896.

Adding to 1000111332 its reverse (2331110001), we get a palindrome (3331221333).

The spelling of 1000111332 in words is "one billion, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 193 222 386 407 444 579 772 814 1061 1158 1221 1628 2122 2123 2316 2442 3183 4244 4246 4884 6366 6369 7141 8492 11671 12732 12738 14282 21423 23342 25476 28564 35013 39257 42846 46684 70026 78514 78551 85692 117771 140052 157028 157102 204773 235542 235653 314204 409546 431827 471084 471306 614319 819092 863654 942612 1228638 1295481 1727308 2252503 2457276 2590962 4505006 5181924 6757509 7576601 9010012 13515018 15153202 22729803 27030036 30306404 45459606 83342611 90919212 166685222 250027833 333370444 500055666 1000111332