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3210000112 = 2411174872203
BaseRepresentation
bin1011111101010100…
…1011011011110000
322021201011220100001
42333111023123300
523033230000422
61250305235344
7142355356624
oct27725133360
98251156301
103210000112
1113a7a63660
12757032b54
133c2060467
1422646d184
1513bc26227
hexbf54b6f0

3210000112 has 80 divisors (see below), whose sum is σ = 7201896192. Its totient is φ = 1369820160.

The previous prime is 3210000103. The next prime is 3210000119. The reversal of 3210000112 is 2110000123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3210000119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1456003 + ... + 1458205.

Almost surely, 23210000112 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 3210000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600948096).

3210000112 is an abundant number, since it is smaller than the sum of its proper divisors (3991896080).

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

3210000112 is a wasteful number, since it uses less digits than its factorization.

3210000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3210000112 is about 56656.8628852675. The cubic root of 3210000112 is about 1475.1460335352.

Adding to 3210000112 its reverse (2110000123), we get a palindrome (5320000235).

The spelling of 3210000112 in words is "three billion, two hundred ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 487 748 974 1496 1948 2203 2992 3896 4406 5357 7792 8279 8812 10714 16558 17624 21428 24233 33116 35248 37451 42856 48466 66232 74902 85712 91069 96932 132464 149804 182138 193864 299608 364276 387728 411961 599216 728552 823922 1072861 1457104 1647844 2145722 3295688 4291444 6591376 8582888 11801471 17165776 18238637 23602942 36477274 47205884 72954548 94411768 145909096 188823536 200625007 291818192 401250014 802500028 1605000056 3210000112