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3201011320 = 2351319536113
BaseRepresentation
bin1011111011001011…
…1000111001111000
322021002021020000211
42332302320321320
523023424330240
61245344440504
7142216101343
oct27662707170
98232236024
103201011320
1113a2984201
12754019134
133c0233c50
142251ad45a
1513b04cbea
hexbecb8e78

3201011320 has 128 divisors (see below), whose sum is σ = 8319931200. Its totient is φ = 1098399744.

The previous prime is 3201011309. The next prime is 3201011381. The reversal of 3201011320 is 231101023.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3201011320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520584 + ... + 526696.

Almost surely, 23201011320 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 3201011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159965600).

3201011320 is an abundant number, since it is smaller than the sum of its proper divisors (5118919880).

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

3201011320 is a wasteful number, since it uses less digits than its factorization.

3201011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3201011320 is about 56577.4806791536. The cubic root of 3201011320 is about 1473.7678220525.

Adding to 3201011320 its reverse (231101023), we get a palindrome (3432112343).

The spelling of 3201011320 in words is "three billion, two hundred one million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 53 65 76 95 104 106 130 152 190 212 247 260 265 380 424 494 520 530 689 760 988 1007 1060 1235 1378 1976 2014 2120 2470 2756 3445 4028 4940 5035 5512 6113 6890 8056 9880 10070 12226 13091 13780 20140 24452 26182 27560 30565 40280 48904 52364 61130 65455 79469 104728 116147 122260 130910 158938 232294 244520 261820 317876 323989 397345 464588 523640 580735 635752 647978 794690 929176 1161470 1295956 1509911 1589380 1619945 2322940 2591912 3019822 3178760 3239890 4211857 4645880 6039644 6155791 6479780 7549555 8423714 12079288 12311582 12959560 15099110 16847428 21059285 24623164 30198220 30778955 33694856 42118570 49246328 60396440 61557910 80025283 84237140 123115820 160050566 168474280 246231640 320101132 400126415 640202264 800252830 1600505660 3201011320