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132223300320 = 25351777155017
BaseRepresentation
bin111101100100100011…
…1110111001011100000
3110122021212110121022010
41323021013313023200
54131243131102240
6140424220112520
712360421336326
oct1731107671340
9418255417263
10132223300320
1151091673611
1221761395740
13c6126a3857
14658488dd16
15368d134280
hex1ec91f72e0

132223300320 has 96 divisors (see below), whose sum is σ = 416740470048. Its totient is φ = 35239477248.

The previous prime is 132223300283. The next prime is 132223300331. The reversal of 132223300320 is 23003322231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1322233003203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775452 + ... + 930468.

It is an arithmetic number, because the mean of its divisors is an integer number (4341046563).

Almost surely, 2132223300320 is an apocalyptic number.

132223300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132223300320 is an abundant number, since it is smaller than the sum of its proper divisors (284517169728).

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

132223300320 is a wasteful number, since it uses less digits than its factorization.

132223300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156812 (or 156804 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 132223300320 its reverse (23003322231), we get a palindrome (155226622551).

The spelling of 132223300320 in words is "one hundred thirty-two billion, two hundred twenty-three million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1777 3554 5331 7108 8885 10662 14216 17770 21324 26655 28432 35540 42648 53310 56864 71080 85296 106620 142160 155017 170592 213240 284320 310034 426480 465051 620068 775085 852960 930102 1240136 1550170 1860204 2325255 2480272 3100340 3720408 4650510 4960544 6200680 7440816 9301020 12401360 14881632 18602040 24802720 37204080 74408160 275465209 550930418 826395627 1101860836 1377326045 1652791254 2203721672 2754652090 3305582508 4131978135 4407443344 5509304180 6611165016 8263956270 8814886688 11018608360 13222330032 16527912540 22037216720 26444660064 33055825080 44074433440 66111650160 132223300320