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3201213150 = 234525913397
BaseRepresentation
bin1011111011001110…
…1010001011011110
322021002122110220000
42332303222023132
523024002310100
61245353035130
7142220601642
oct27663521336
98232573800
103201213150
1113a3001903
127540b5aa6
133c02a4a85
14225222c22
1513b08c900
hexbecea2de

3201213150 has 120 divisors (see below), whose sum is σ = 9046061640. Its totient is φ = 839125440.

The previous prime is 3201213149. The next prime is 3201213151. The reversal of 3201213150 is 513121023.

It is an interprime number because it is at equal distance from previous prime (3201213149) and next prime (3201213151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201213151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232252 + ... + 245648.

It is an arithmetic number, because the mean of its divisors is an integer number (75383847).

Almost surely, 23201213150 is an apocalyptic number.

3201213150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201213150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523030820).

3201213150 is an abundant number, since it is smaller than the sum of its proper divisors (5844848490).

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

3201213150 is a wasteful number, since it uses less digits than its factorization.

3201213150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13480 (or 13466 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3201213150 is about 56579.2643112298. The cubic root of 3201213150 is about 1473.7987960457.

Adding to 3201213150 its reverse (513121023), we get a palindrome (3714334173).

The spelling of 3201213150 in words is "three billion, two hundred one million, two hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 81 90 118 135 150 162 177 225 270 295 354 405 450 531 590 675 810 885 1062 1350 1475 1593 1770 2025 2655 2950 3186 4050 4425 4779 5310 7965 8850 9558 13275 13397 15930 23895 26550 26794 39825 40191 47790 66985 79650 80382 119475 120573 133970 200955 238950 241146 334925 361719 401910 602865 669850 723438 790423 1004775 1085157 1205730 1580846 1808595 2009550 2170314 2371269 3014325 3617190 3952115 4742538 5425785 6028650 7113807 7904230 9042975 10851570 11856345 14227614 18085950 19760575 21341421 23712690 27128925 35569035 39521150 42682842 54257850 59281725 64024263 71138070 106707105 118563450 128048526 177845175 213414210 320121315 355690350 533535525 640242630 1067071050 1600606575 3201213150