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132311131120 = 24571180720011
BaseRepresentation
bin111101100111001011…
…0111010001111110000
3110122111222201212111201
41323032112322033300
54131433122143440
6140441034420544
712362536025650
oct1731626721760
9418458655451
10132311131120
1151127203153
1221786891754
13c62794633c
1465923d4360
153695bd319a
hex1ece5ba3f0

132311131120 has 80 divisors (see below), whose sum is σ = 351616923648. Its totient is φ = 45357707520.

The previous prime is 132311131091. The next prime is 132311131243. The reversal of 132311131120 is 21131113231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 6601915 + ... + 6621925.

Almost surely, 2132311131120 is an apocalyptic number.

132311131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132311131120 is an abundant number, since it is smaller than the sum of its proper divisors (219305792528).

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

132311131120 is a wasteful number, since it uses less digits than its factorization.

132311131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31838 (or 31832 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 132311131120 its reverse (21131113231), we get a palindrome (153442244351).

The spelling of 132311131120 in words is "one hundred thirty-two billion, three hundred eleven million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 11807 20011 23614 40022 47228 59035 80044 82649 94456 100055 118070 140077 160088 165298 188912 200110 236140 280154 320176 330596 400220 413245 472280 560308 661192 700385 800440 826490 944560 1120616 1322384 1400770 1600880 1652980 2241232 2801540 3305960 5603080 6611920 11206160 236269877 472539754 945079508 1181349385 1653889139 1890159016 2362698770 3307778278 3780318032 4725397540 6615556556 8269445695 9450795080 13231113112 16538891390 18901590160 26462226224 33077782780 66155565560 132311131120