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132301212342320 = 2457343311135041
BaseRepresentation
bin11110000101001111000110…
…110000111101100000110000
3122100102212112222000112111102
4132011033012300331200300
5114320110340324423240
61145214200552503532
736603306242654000
oct3605170660754060
9570385488015442
10132301212342320
11391786a131100a
1212a08a403aaba8
1358a8c48b71378
1424955acbb4000
1510466d13ac815
hex7853c6c3d830

132301212342320 has 160 divisors (see below), whose sum is σ = 359546052163200. Its totient is φ = 45255653130240.

The previous prime is 132301212342307. The next prime is 132301212342353. The reversal of 132301212342320 is 23243212103231.

It is a super-2 number, since 2×1323012123423202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6314000 + ... + 17449040.

It is an arithmetic number, because the mean of its divisors is an integer number (2247162826020).

Almost surely, 2132301212342320 is an apocalyptic number.

132301212342320 is a gapful number since it is divisible by the number (10) 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 132301212342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179773026081600).

132301212342320 is an abundant number, since it is smaller than the sum of its proper divisors (227244839820880).

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

132301212342320 is a wasteful number, since it uses less digits than its factorization.

132301212342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11135508 (or 11135488 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 132301212342320 its reverse (23243212103231), we get a palindrome (155544424445551).

The spelling of 132301212342320 in words is "one hundred thirty-two trillion, three hundred one billion, two hundred twelve million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 433 490 560 686 784 866 980 1372 1715 1732 1960 2165 2744 3031 3430 3464 3920 4330 5488 6062 6860 6928 8660 12124 13720 15155 17320 21217 24248 27440 30310 34640 42434 48496 60620 84868 106085 121240 148519 169736 212170 242480 297038 339472 424340 594076 742595 848680 1188152 1485190 1697360 2376304 2970380 5940760 11135041 11881520 22270082 44540164 55675205 77945287 89080328 111350410 155890574 178160656 222700820 311781148 389726435 445401640 545617009 623562296 779452870 890803280 1091234018 1247124592 1558905740 2182468036 2728085045 3117811480 3819319063 4364936072 4821472753 5456170090 6235622960 7638638126 8729872144 9642945506 10912340180 15277276252 19096595315 19285891012 21824680360 24107363765 30554552504 33750309271 38193190630 38571782024 43649360720 48214727530 61109105008 67500618542 76386381260 77143564048 96429455060 135001237084 152772762520 168751546355 192858910120 236252164897 270002474168 305545525040 337503092710 385717820240 472504329794 540004948336 675006185420 945008659588 1181260824485 1350012370840 1653765154279 1890017319176 2362521648970 2700024741680 3307530308558 3780034638352 4725043297940 6615060617116 8268825771395 9450086595880 13230121234232 16537651542790 18900173191760 26460242468464 33075303085580 66150606171160 132301212342320