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132300311220 = 223257119545477
BaseRepresentation
bin111101100110110110…
…1101000101010110100
3110122111020101011101200
41323031231220222310
54131422334424340
6140440010452500
712362345043030
oct1731555505264
9418436334350
10132300311220
1151121092a90
1221783134130
13c62562852c
146590bb91c0
153694c97330
hex1ecdb68ab4

132300311220 has 144 divisors (see below), whose sum is σ = 500335774848. Its totient is φ = 27490970880.

The previous prime is 132300311177. The next prime is 132300311243. The reversal of 132300311220 is 22113003231.

132300311220 is a `hidden beast` number, since 1 + 32 + 300 + 311 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132300311193 and 132300311202.

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, 4758879 + ... + 4786598.

It is an arithmetic number, because the mean of its divisors is an integer number (3474553992).

Almost surely, 2132300311220 is an apocalyptic number.

132300311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300311220 is an abundant number, since it is smaller than the sum of its proper divisors (368035463628).

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

132300311220 is a wasteful number, since it uses less digits than its factorization.

132300311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545510 (or 9545505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132300311220 its reverse (22113003231), we get a palindrome (154413314451).

The spelling of 132300311220 in words is "one hundred thirty-two billion, three hundred million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 9545477 19090954 28636431 38181908 47727385 57272862 66818339 85909293 95454770 105000247 114545724 133636678 143182155 171818586 190909540 200455017 210000494 267273356 286364310 315000741 334091695 343637172 400910034 420000988 429546465 525001235 572728620 601365051 630001482 668183390 735001729 801820068 859092930 945002223 1002275085 1050002470 1202730102 1260002964 1336366780 1470003458 1575003705 1718185860 1890004446 2004550170 2100004940 2205005187 2405460204 2940006916 3006825255 3150007410 3675008645 3780008892 4009100340 4410010374 4725011115 6013650510 6300014820 6615015561 7350017290 8820020748 9450022230 11025025935 12027301020 13230031122 14700034580 18900044460 22050051870 26460062244 33075077805 44100103740 66150155610 132300311220