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132240142120 = 235194118123447
BaseRepresentation
bin111101100101000100…
…0000110111100101000
3110122100001011020220111
41323022020012330220
54131311434021440
6140430021104104
712361014442642
oct1731210067450
9418301136814
10132240142120
11510a0127059
1221766b58034
13c61601c608
146586bd5892
15368e85e4ea
hex1eca206f28

132240142120 has 128 divisors (see below), whose sum is σ = 322625721600. Its totient is φ = 48617625600.

The previous prime is 132240142109. The next prime is 132240142127. The reversal of 132240142120 is 21241042231.

It is a junction number, because it is equal to n+sod(n) for n = 132240142091 and 132240142100.

It is not an unprimeable number, because it can be changed into a prime (132240142127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5628237 + ... + 5651683.

It is an arithmetic number, because the mean of its divisors is an integer number (2520513450).

Almost surely, 2132240142120 is an apocalyptic number.

132240142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132240142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161312860800).

132240142120 is an abundant number, since it is smaller than the sum of its proper divisors (190385579480).

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

132240142120 is a wasteful number, since it uses less digits than its factorization.

132240142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23699 (or 23695 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 132240142120 its reverse (21241042231), we get a palindrome (153481184351).

The spelling of 132240142120 in words is "one hundred thirty-two billion, two hundred forty million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 181 190 205 328 362 380 410 724 760 779 820 905 1448 1558 1640 1810 3116 3439 3620 3895 6232 6878 7240 7421 7790 13756 14842 15580 17195 23447 27512 29684 31160 34390 37105 46894 59368 68780 74210 93788 117235 137560 140999 148420 187576 234470 281998 296840 445493 468940 563996 704995 890986 937880 961327 1127992 1409990 1781972 1922654 2227465 2819980 3563944 3845308 4243907 4454930 4806635 5639960 7690616 8487814 8909860 9613270 16975628 17819720 18265213 19226540 21219535 33951256 36530426 38453080 42439070 73060852 80634233 84878140 91326065 146121704 161268466 169756280 174000187 182652130 322536932 348000374 365304260 403171165 645073864 696000748 730608520 806342330 870000935 1392001496 1612684660 1740001870 3225369320 3306003553 3480003740 6612007106 6960007480 13224014212 16530017765 26448028424 33060035530 66120071060 132240142120