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1011199956 = 2231329832693
BaseRepresentation
bin111100010001011…
…010111111010100
32121110202021120020
4330101122333110
54032331344311
6244201305140
734026025554
oct7421327724
92543667506
101011199956
11479883548
122427951b0
1313165bc90
1498425164
155db94c06
hex3c45afd4

1011199956 has 96 divisors (see below), whose sum is σ = 2661240960. Its totient is φ = 296679936.

The previous prime is 1011199909. The next prime is 1011199957. The reversal of 1011199956 is 6599911101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011199957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374146 + ... + 376838.

It is an arithmetic number, because the mean of its divisors is an integer number (27721260).

Almost surely, 21011199956 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 1011199956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330620480).

1011199956 is an abundant number, since it is smaller than the sum of its proper divisors (1650041004).

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

1011199956 is a wasteful number, since it uses less digits than its factorization.

1011199956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 42.

The square root of 1011199956 is about 31799.3703711253. The cubic root of 1011199956 is about 1003.7194670791.

The spelling of 1011199956 in words is "one billion, eleven million, one hundred ninety-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 83 87 116 156 166 174 249 332 348 377 498 754 996 1079 1131 1508 2158 2262 2407 2693 3237 4316 4524 4814 5386 6474 7221 8079 9628 10772 12948 14442 16158 28884 31291 32316 35009 62582 70018 78097 93873 105027 125164 140036 156194 187746 210054 223519 234291 312388 375492 420108 447038 468582 670557 894076 937164 1015261 1341114 2030522 2682228 2905747 3045783 4061044 5811494 6091566 6482051 8717241 11622988 12183132 12964102 17434482 19446153 25928204 34868964 38892306 77784612 84266663 168533326 252799989 337066652 505599978 1011199956