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3201133122 = 234117125301
BaseRepresentation
bin1011111011001101…
…0110101001000010
322021002111102010000
42332303112221002
523023442224442
61245351220430
7142220116425
oct27663265102
98232442100
103201133122
1113a2a57770
12754077716
133c0277515
142252019bc
1513b073d4c
hexbecd6a42

3201133122 has 80 divisors (see below), whose sum is σ = 7935516864. Its totient is φ = 956340000.

The previous prime is 3201133081. The next prime is 3201133139. The reversal of 3201133122 is 2213311023.

3201133122 is a `hidden beast` number, since 320 + 11 + 331 + 2 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3201133095 and 3201133104.

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 39 ways as a sum of consecutive naturals, for example, 113872 + ... + 139172.

Almost surely, 23201133122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201133122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967758432).

3201133122 is an abundant number, since it is smaller than the sum of its proper divisors (4734383742).

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

3201133122 is a wasteful number, since it uses less digits than its factorization.

3201133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25397 (or 25388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3201133122 is about 56578.5570865854. The cubic root of 3201133122 is about 1473.7865146441.

Adding to 3201133122 its reverse (2213311023), we get a palindrome (5414444145).

The spelling of 3201133122 in words is "three billion, two hundred one million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 81 99 142 162 198 213 297 426 594 639 781 891 1278 1562 1782 1917 2343 3834 4686 5751 7029 11502 14058 21087 25301 42174 50602 63261 75903 126522 151806 227709 278311 455418 556622 683127 834933 1366254 1669866 1796371 2049381 2504799 3592742 4098762 5009598 5389113 7514397 10778226 15028794 16167339 19760081 22543191 32334678 39520162 45086382 48502017 59280243 97004034 118560486 145506051 177840729 291012102 355681458 533522187 1067044374 1600566561 3201133122