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212331131232 = 253111511331597
BaseRepresentation
bin1100010110111111101…
…0111111000101100000
3202022001201111001111120
43011233322333011200
511434323232144412
6241313225012240
721224522556633
oct3055772770540
9668051431446
10212331131232
118205a42a650
1235199324080
131703ac6162c
14a3c3a97c1a
1557cad02b8c
hex316febf160

212331131232 has 96 divisors (see below), whose sum is σ = 612066357504. Its totient is φ = 63916608000.

The previous prime is 212331131219. The next prime is 212331131279. The reversal of 212331131232 is 232131133212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506343 + ... + 825254.

It is an arithmetic number, because the mean of its divisors is an integer number (6375691224).

Almost surely, 2212331131232 is an apocalyptic number.

212331131232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212331131232 is an abundant number, since it is smaller than the sum of its proper divisors (399735226272).

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

212331131232 is a wasteful number, since it uses less digits than its factorization.

212331131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331772 (or 1331764 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 212331131232 its reverse (232131133212), we get a palindrome (444462264444).

The spelling of 212331131232 in words is "two hundred twelve billion, three hundred thirty-one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 151 176 264 302 352 453 528 604 906 1056 1208 1661 1812 2416 3322 3624 4832 4983 6644 7248 9966 13288 14496 19932 26576 39864 53152 79728 159456 1331597 2663194 3994791 5326388 7989582 10652776 14647567 15979164 21305552 29295134 31958328 42611104 43942701 58590268 63916656 87885402 117180536 127833312 175770804 201071147 234361072 351541608 402142294 468722144 603213441 703083216 804284588 1206426882 1406166432 1608569176 2211782617 2412853764 3217138352 4423565234 4825707528 6434276704 6635347851 8847130468 9651415056 13270695702 17694260936 19302830112 26541391404 35388521872 53082782808 70777043744 106165565616 212331131232