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132342011120 = 245111131330873
BaseRepresentation
bin111101101000000110…
…0101101010011110000
3110122121010211201220102
41323100030231103300
54132014023323440
6140444100331532
712363362351054
oct1732014552360
9418533751812
10132342011120
1151142684810
12217950a3ba8
13c631168a27
146596551c64
153698782b15
hex1ed032d4f0

132342011120 has 80 divisors (see below), whose sum is σ = 338638227552. Its totient is φ = 47698452480.

The previous prime is 132342011083. The next prime is 132342011129. The reversal of 132342011120 is 21110243231.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132342011092 and 132342011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132342011129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565997 + ... + 764876.

Almost surely, 2132342011120 is an apocalyptic number.

132342011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132342011120 is an abundant number, since it is smaller than the sum of its proper divisors (206296216432).

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

132342011120 is a wasteful number, since it uses less digits than its factorization.

132342011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331010 (or 1331004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132342011120 its reverse (21110243231), we get a palindrome (153452254351).

The spelling of 132342011120 in words is "one hundred thirty-two billion, three hundred forty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 880 904 1130 1243 1808 2260 2486 4520 4972 6215 9040 9944 12430 19888 24860 49720 99440 1330873 2661746 5323492 6654365 10646984 13308730 14639603 21293968 26617460 29279206 53234920 58558412 73198015 106469840 117116824 146396030 150388649 234233648 292792060 300777298 585584120 601554596 751943245 1171168240 1203109192 1503886490 1654275139 2406218384 3007772980 3308550278 6015545960 6617100556 8271375695 12031091920 13234201112 16542751390 26468402224 33085502780 66171005560 132342011120