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132332332212 = 2232176710872969
BaseRepresentation
bin111101100111110011…
…1110010010010110100
3110122120110121222221100
41323033213302102310
54132004034112322
6140443113050100
712363214156503
oct1731747622264
9418513558840
10132332332212
1151138173913
12217919b6930
13c62c15a372
14659515283a
1536979bedac
hex1ecf9f24b4

132332332212 has 144 divisors (see below), whose sum is σ = 359921802240. Its totient is φ = 40844998656.

The previous prime is 132332332189. The next prime is 132332332247. The reversal of 132332332212 is 212233233231.

132332332212 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 323 + 322 + 12 = 666.

It is a super-2 number, since 2×1323323322122 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 44569864 + ... + 44572832.

It is an arithmetic number, because the mean of its divisors is an integer number (2499456960).

Almost surely, 2132332332212 is an apocalyptic number.

132332332212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132332332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179960901120).

132332332212 is an abundant number, since it is smaller than the sum of its proper divisors (227589470028).

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

132332332212 is a wasteful number, since it uses less digits than its factorization.

132332332212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4145 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 132332332212 its reverse (212233233231), we get a palindrome (344565565443).

The spelling of 132332332212 in words is "one hundred thirty-two billion, three hundred thirty-two million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 603 612 804 1087 1139 1206 2174 2278 2412 2969 3261 3417 4348 4556 5938 6522 6834 8907 9783 10251 11876 13044 13668 17814 18479 19566 20502 26721 35628 36958 39132 41004 50473 53442 55437 72829 73916 100946 106884 110874 145658 151419 166311 198923 201892 218487 221748 291316 302838 332622 397846 436974 454257 596769 605676 655461 665244 795692 873948 908514 1193538 1238093 1310922 1790307 1817028 2387076 2476186 2621844 3227303 3381691 3580614 3714279 4952372 6454606 6763382 7161228 7428558 9681909 10145073 11142837 12909212 13526764 14857116 19363818 20290146 22285674 29045727 30435219 38727636 40580292 44571348 54864151 58091454 60870438 109728302 116182908 121740876 164592453 216229301 219456604 329184906 432458602 493777359 648687903 658369812 864917204 987554718 1297375806 1946063709 1975109436 2594751612 3675898117 3892127418 7351796234 7784254836 11027694351 14703592468 22055388702 33083083053 44110777404 66166166106 132332332212