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3213302120 = 2357137211397
BaseRepresentation
bin1011111110000111…
…0001100101101000
322021221101122211122
42333201301211220
523040101131440
61250504114412
7142425421520
oct27741614550
98257348748
103213302120
1113a9909496
12758165a08
133c2948402
14226a8c680
1513c1797b5
hexbf871968

3213302120 has 128 divisors (see below), whose sum is σ = 8383599360. Its totient is φ = 1085736960.

The previous prime is 3213302119. The next prime is 3213302137. The reversal of 3213302120 is 212033123.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8093762 + ... + 8094158.

It is an arithmetic number, because the mean of its divisors is an integer number (65496870).

Almost surely, 23213302120 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 3213302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191799680).

3213302120 is an abundant number, since it is smaller than the sum of its proper divisors (5170297240).

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

3213302120 is a wasteful number, since it uses less digits than its factorization.

3213302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3213302120 is about 56685.9958014323. The cubic root of 3213302120 is about 1475.6516695271.

Adding to 3213302120 its reverse (212033123), we get a palindrome (3425335243).

The spelling of 3213302120 in words is "three billion, two hundred thirteen million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 211 274 280 397 422 548 685 794 844 959 1055 1096 1370 1477 1588 1688 1918 1985 2110 2740 2779 2954 3176 3836 3970 4220 4795 5480 5558 5908 7385 7672 7940 8440 9590 11116 11816 13895 14770 15880 19180 22232 27790 28907 29540 38360 54389 55580 57814 59080 83767 108778 111160 115628 144535 167534 202349 217556 231256 271945 289070 335068 380723 404698 418835 435112 543890 578140 586369 670136 761446 809396 837670 1011745 1087780 1156280 1172738 1522892 1618792 1675340 1903615 2023490 2175560 2345476 2931845 3045784 3350680 3807230 4046980 4690952 5863690 7614460 8093960 11476079 11727380 15228920 22952158 23454760 45904316 57380395 80332553 91808632 114760790 160665106 229521580 321330212 401662765 459043160 642660424 803325530 1606651060 3213302120