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212001131232 = 253211531262633
BaseRepresentation
bin1100010101110001000…
…0001000101011100000
3202021012201112022121100
43011130100020223200
511433134242144412
6241220355554400
721213404611542
oct3053420105340
9667181468540
10212001131232
1181a00125780
12351068bba00
1316cb778b867
14a391d15692
1557abd69edc
hex315c408ae0

212001131232 has 144 divisors (see below), whose sum is σ = 670095015408. Its totient is φ = 63030589440.

The previous prime is 212001131219. The next prime is 212001131291. The reversal of 212001131232 is 232131100212.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463413 + ... + 799220.

It is an arithmetic number, because the mean of its divisors is an integer number (4653437607).

Almost surely, 2212001131232 is an apocalyptic number.

212001131232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212001131232 is an abundant number, since it is smaller than the sum of its proper divisors (458093884176).

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

212001131232 is a wasteful number, since it uses less digits than its factorization.

212001131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262713 (or 1262702 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212001131232 its reverse (232131100212), we get a palindrome (444132231444).

The spelling of 212001131232 in words is "two hundred twelve billion, one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 288 318 352 396 424 477 528 583 636 792 848 954 1056 1166 1272 1584 1696 1749 1908 2332 2544 3168 3498 3816 4664 5088 5247 6996 7632 9328 10494 13992 15264 18656 20988 27984 41976 55968 83952 167904 1262633 2525266 3787899 5050532 7575798 10101064 11363697 13888963 15151596 20202128 22727394 27777926 30303192 40404256 41666889 45454788 55555852 60606384 66919549 83333778 90909576 111111704 121212768 125000667 133839098 166667556 181819152 200758647 222223408 250001334 267678196 333335112 363638304 401517294 444446816 500002668 535356392 602275941 666670224 736115039 803034588 1000005336 1070712784 1204551882 1333340448 1472230078 1606069176 2000010672 2141425568 2208345117 2409103764 2944460156 3212138352 4000021344 4416690234 4818207528 5888920312 6424276704 6625035351 8833380468 9636415056 11777840624 13250070702 17666760936 19272830112 23555681248 26500141404 35333521872 53000282808 70667043744 106000565616 212001131232