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20083300218 = 2352313011381
BaseRepresentation
bin10010101101000011…
…101101011101111010
31220211122021100200000
4102231003231131322
5312112311101333
613120502453430
71310453143452
oct225503553572
956748240600
1020083300218
118576554783
123a85a34276
131b80a221c7
14d873aad62
157c8222713
hex4ad0ed77a

20083300218 has 96 divisors (see below), whose sum is σ = 47157731712. Its totient is φ = 6393816000.

The previous prime is 20083300187. The next prime is 20083300271. The reversal of 20083300218 is 81200338002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20083300191 and 20083300200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14541888 + ... + 14543268.

It is an arithmetic number, because the mean of its divisors is an integer number (491226372).

Almost surely, 220083300218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20083300218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23578865856).

20083300218 is an abundant number, since it is smaller than the sum of its proper divisors (27074431494).

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

20083300218 is a wasteful number, since it uses less digits than its factorization.

20083300218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20083300218 in words is "twenty billion, eighty-three million, three hundred thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1301 1381 1863 2602 2762 3726 3903 4143 5589 7806 8286 11178 11709 12429 23418 24858 29923 31763 35127 37287 59846 63526 70254 74574 89769 95289 105381 111861 179538 190578 210762 223722 269307 285867 316143 335583 538614 571734 632286 671166 807921 857601 1615842 1715202 1796681 2423763 2572803 3593362 4847526 5145606 5390043 7271289 7718409 10780086 14542578 15436818 16170129 32340258 41323663 48510387 82647326 97020774 123970989 145531161 247941978 291062322 371912967 436593483 743825934 873186966 1115738901 2231477802 3347216703 6694433406 10041650109 20083300218