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3200113818 = 2341131531093
BaseRepresentation
bin1011111010111101…
…1101110010011010
322021000120121220000
42332233131302122
523023212120233
61245313313430
7142205342616
oct27657356232
98230517800
103200113818
1113a2420970
12753865876
133bccab595
14225018346
1513ae21d13
hexbebddc9a

3200113818 has 160 divisors (see below), whose sum is σ = 8234721792. Its totient is φ = 919900800.

The previous prime is 3200113811. The next prime is 3200113841. The reversal of 3200113818 is 8183110023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3200113791 and 3200113800.

It is not an unprimeable number, because it can be changed into a prime (3200113811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2927280 + ... + 2928372.

Almost surely, 23200113818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200113818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117360896).

3200113818 is an abundant number, since it is smaller than the sum of its proper divisors (5034607974).

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

3200113818 is a wasteful number, since it uses less digits than its factorization.

3200113818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3200113818 is about 56569.5485044737. The cubic root of 3200113818 is about 1473.6300704614.

The spelling of 3200113818 in words is "three billion, two hundred million, one hundred thirteen thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 53 54 62 66 81 93 99 106 159 162 186 198 279 297 318 341 477 558 583 594 682 837 891 954 1023 1093 1166 1431 1643 1674 1749 1782 2046 2186 2511 2862 3069 3279 3286 3498 4293 4929 5022 5247 6138 6558 8586 9207 9837 9858 10494 12023 14787 15741 18073 18414 19674 24046 27621 29511 29574 31482 33883 36069 36146 44361 47223 54219 55242 57929 59022 67766 72138 88533 88722 94446 101649 108207 108438 115858 133083 162657 173787 177066 203298 216414 266166 304947 324621 325314 347574 372713 487971 521361 609894 637219 649242 745426 914841 973863 975942 1042722 1118139 1274438 1463913 1564083 1795799 1829682 1911657 1947726 2236278 2744523 2927826 3128166 3354417 3591598 3823314 4692249 5387397 5489046 5734971 6708834 9384498 10063251 10774794 11469942 16162191 17204913 19753789 20126502 30189753 32324382 34409826 39507578 48486573 51614739 59261367 60379506 96973146 103229478 118522734 145459719 177784101 290919438 355568202 533352303 1066704606 1600056909 3200113818