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1102209984 = 26332113023
BaseRepresentation
bin100000110110010…
…0110001111000000
32211211000001212000
41001230212033000
54224131204414
6301212104000
736212426121
oct10154461700
92754001760
101102209984
11516194747
12269165000
13147475875
14a6556048
1566b70b09
hex41b263c0

1102209984 has 112 divisors (see below), whose sum is σ = 3256727040. Its totient is φ = 365541120.

The previous prime is 1102209973. The next prime is 1102210001. The reversal of 1102209984 is 4899022011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363097 + ... + 366119.

It is an arithmetic number, because the mean of its divisors is an integer number (29077920).

Almost surely, 21102209984 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 1102209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628363520).

1102209984 is an abundant number, since it is smaller than the sum of its proper divisors (2154517056).

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

1102209984 is a wasteful number, since it uses less digits than its factorization.

1102209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1102209984 is about 33199.5479487297. The cubic root of 1102209984 is about 1032.9709628679.

The spelling of 1102209984 in words is "one billion, one hundred two million, two hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 211 216 288 422 432 576 633 844 864 1266 1688 1728 1899 2532 3023 3376 3798 5064 5697 6046 6752 7596 9069 10128 11394 12092 13504 15192 18138 20256 22788 24184 27207 30384 36276 40512 45576 48368 54414 60768 72552 81621 91152 96736 108828 121536 145104 163242 182304 193472 217656 290208 326484 364608 435312 580416 637853 652968 870624 1275706 1305936 1741248 1913559 2551412 2611872 3827118 5102824 5223744 5740677 7654236 10205648 11481354 15308472 17222031 20411296 22962708 30616944 34444062 40822592 45925416 61233888 68888124 91850832 122467776 137776248 183701664 275552496 367403328 551104992 1102209984