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210131301312 = 2632859424693
BaseRepresentation
bin1100001110110011001…
…1010011001111000000
3202002101102010010011100
43003230303103033000
511420322103120222
6240311043014400
721116151406422
oct3035463231700
9662342103140
10210131301312
1181130706899
123488466a400
1316a7a28c51a
14a255862812
1556ecb1b4ac
hex30eccd33c0

210131301312 has 84 divisors (see below), whose sum is σ = 603006022840. Its totient is φ = 69962061312.

The previous prime is 210131301299. The next prime is 210131301319. The reversal of 210131301312 is 213103131012.

210131301312 is a `hidden beast` number, since 21 + 0 + 1 + 31 + 301 + 312 = 666.

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 (210131301319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282438 + ... + 707130.

Almost surely, 2210131301312 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 210131301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301503011420).

210131301312 is an abundant number, since it is smaller than the sum of its proper divisors (392874721528).

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

210131301312 is a wasteful number, since it uses less digits than its factorization.

210131301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425570 (or 425557 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 210131301312 its reverse (213103131012), we get a palindrome (423234432324).

The spelling of 210131301312 in words is "two hundred ten billion, one hundred thirty-one million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 859 1718 2577 3436 5154 6872 7731 10308 13744 15462 20616 27488 30924 41232 54976 61848 82464 123696 164928 247392 424693 494784 849386 1274079 1698772 2548158 3397544 3822237 5096316 6795088 7644474 10192632 13590176 15288948 20385264 27180352 30577896 40770528 61155792 81541056 122311584 244623168 364811287 729622574 1094433861 1459245148 2188867722 2918490296 3283301583 4377735444 5836980592 6566603166 8755470888 11673961184 13133206332 17510941776 23347922368 26266412664 35021883552 52532825328 70043767104 105065650656 210131301312