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3520213116 = 223731077993
BaseRepresentation
bin1101000111010010…
…0011000001111100
3100002022220100120120
43101310203001330
524202133304431
61341150214540
7153143214000
oct32164430174
910068810516
103520213116
111547083242
12822ab4450
134413c5a54
14255740700
151590a1196
hexd1d2307c

3520213116 has 96 divisors (see below), whose sum is σ = 9669542400. Its totient is φ = 996250752.

The previous prime is 3520213079. The next prime is 3520213121. The reversal of 3520213116 is 6113120253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436416 + ... + 444408.

It is an arithmetic number, because the mean of its divisors is an integer number (100724400).

Almost surely, 23520213116 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 3520213116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834771200).

3520213116 is an abundant number, since it is smaller than the sum of its proper divisors (6149329284).

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

3520213116 is a wasteful number, since it uses less digits than its factorization.

3520213116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3520213116 is about 59331.3839043048. The cubic root of 3520213116 is about 1521.2116833069.

Adding to 3520213116 its reverse (6113120253), we get a palindrome (9633333369).

The spelling of 3520213116 in words is "three billion, five hundred twenty million, two hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 343 428 588 642 686 749 1029 1284 1372 1498 2058 2247 2996 4116 4494 5243 7993 8988 10486 15729 15986 20972 23979 31458 31972 36701 47958 55951 62916 73402 95916 110103 111902 146804 167853 220206 223804 335706 391657 440412 671412 783314 855251 1174971 1566628 1710502 2349942 2565753 2741599 3421004 4699884 5131506 5483198 5986757 8224797 10263012 10966396 11973514 16449594 17960271 23947028 32899188 35920542 41907299 71841084 83814598 125721897 167629196 251443794 293351093 502887588 586702186 880053279 1173404372 1760106558 3520213116