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1011330112 = 261331113347
BaseRepresentation
bin111100010001111…
…010110001000000
32121110222220002211
4330101322301000
54032400030422
6244204151504
734030110202
oct7421726100
92543886084
101011330112
11479962311
12242838594
131316a62b0
149845a772
155dbbd577
hex3c47ac40

1011330112 has 112 divisors (see below), whose sum is σ = 2257178112. Its totient is φ = 446423040.

The previous prime is 1011330097. The next prime is 1011330121. The reversal of 1011330112 is 2110331101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1011330092 and 1011330101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2914323 + ... + 2914669.

It is an arithmetic number, because the mean of its divisors is an integer number (20153376).

Almost surely, 21011330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128589056).

1011330112 is an abundant number, since it is smaller than the sum of its proper divisors (1245848000).

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

1011330112 is a wasteful number, since it uses less digits than its factorization.

1011330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1011330112 is about 31801.4168237832. The cubic root of 1011330112 is about 1003.7625296160.

Adding to 1011330112 its reverse (2110331101), we get a palindrome (3121661213).

The spelling of 1011330112 in words is "one billion, eleven million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 113 124 208 226 248 347 403 416 452 496 694 806 832 904 992 1388 1469 1612 1808 1984 2776 2938 3224 3503 3616 4511 5552 5876 6448 7006 7232 9022 10757 11104 11752 12896 14012 18044 21514 22208 23504 25792 28024 36088 39211 43028 45539 47008 56048 72176 78422 86056 91078 94016 112096 139841 144352 156844 172112 182156 224192 279682 288704 313688 344224 364312 509743 559364 627376 688448 728624 1019486 1118728 1215541 1254752 1457248 2038972 2237456 2431082 2509504 2914496 4077944 4474912 4862164 8155888 8949824 9724328 15802033 16311776 19448656 31604066 32623552 38897312 63208132 77794624 126416264 252832528 505665056 1011330112