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132011213442420 = 223513301156208949
BaseRepresentation
bin11110000001000001000001…
…011110111100110101110100
3122022102011000102221000221010
4132001001001132330311310
5114300332431120124140
61144433040401552220
736543331634664504
oct3601010136746564
9568364012830833
10132011213442420
11390767065102a4
12129807a8345670
1358877b1026890
14248553bddda04
15103ddabc27880
hex7810417bcd74

132011213442420 has 96 divisors (see below), whose sum is σ = 398196792604800. Its totient is φ = 32484275228160.

The previous prime is 132011213442377. The next prime is 132011213442431. The reversal of 132011213442420 is 24244312110231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 25755895 + ... + 30453054.

It is an arithmetic number, because the mean of its divisors is an integer number (4147883256300).

Almost surely, 2132011213442420 is an apocalyptic number.

132011213442420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132011213442420 is an abundant number, since it is smaller than the sum of its proper divisors (266185579162380).

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

132011213442420 is a wasteful number, since it uses less digits than its factorization.

132011213442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56211985 (or 56211983 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132011213442420 its reverse (24244312110231), we get a palindrome (156255525552651).

The spelling of 132011213442420 in words is "one hundred thirty-two trillion, eleven billion, two hundred thirteen million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3011 6022 9033 12044 15055 18066 30110 36132 39143 45165 60220 78286 90330 117429 156572 180660 195715 234858 391430 469716 587145 782860 1174290 2348580 56208949 112417898 168626847 224835796 281044745 337253694 562089490 674507388 730716337 843134235 1124178980 1461432674 1686268470 2192149011 2922865348 3372536940 3653581685 4384298022 7307163370 8768596044 10960745055 14614326740 21921490110 43842980220 169245145439 338490290878 507735436317 676980581756 846225727195 1015470872634 1692451454390 2030941745268 2200186890707 2538677181585 3384902908780 4400373781414 5077354363170 6600560672121 8800747562828 10154708726340 11000934453535 13201121344242 22001868907070 26402242688484 33002803360605 44003737814140 66005606721210 132011213442420