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212031891540 = 22335731144757
BaseRepresentation
bin1100010101111000010…
…1011110100001010100
3202021021212102002211000
43011132011132201110
511433220131012130
6241223415143300
721214230225000
oct3053605364124
9667255362730
10212031891540
1181a16525417
1235115074b30
1316cc0c6b921
14a396041700
1557ae8e4260
hex315e15e854

212031891540 has 192 divisors, whose sum is σ = 769277376000. Its totient is φ = 48464390016.

The previous prime is 212031891517. The next prime is 212031891551. The reversal of 212031891540 is 45198130212.

212031891540 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 31 + 89 + 1 + 540 = 666.

It is a super-3 number, since 3×2120318915403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212031891495 and 212031891504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387159 + ... + 757598.

It is an arithmetic number, because the mean of its divisors is an integer number (4006653000).

Almost surely, 2212031891540 is an apocalyptic number.

212031891540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212031891540 is an abundant number, since it is smaller than the sum of its proper divisors (557245484460).

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

212031891540 is a wasteful number, since it uses less digits than its factorization.

212031891540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144796 (or 1144774 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 212031891540 in words is "two hundred twelve billion, thirty-one million, eight hundred ninety-one thousand, five hundred forty".