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132130222101240 = 233511364732744459
BaseRepresentation
bin11110000010101111110110…
…111100111101001011111000
3122022211112012100201021222120
4132002233312330331023320
5114304310143324214430
61145003441442321240
736555044035621416
oct3602576674751370
9568745170637876
10132130222101240
1139112126826090
121299b880059220
135895a98a1601c
14248b1cb8102b6
151042024b5c610
hex782bf6f3d2f8

132130222101240 has 128 divisors (see below), whose sum is σ = 432438195052800. Its totient is φ = 32030679096320.

The previous prime is 132130222101223. The next prime is 132130222101257. The reversal of 132130222101240 is 42101222031231.

It is an interprime number because it is at equal distance from previous prime (132130222101223) and next prime (132130222101257).

It is a super-2 number, since 2×1321302221012402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132130222101240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46772131 + ... + 49516589.

It is an arithmetic number, because the mean of its divisors is an integer number (3378423398850).

Almost surely, 2132130222101240 is an apocalyptic number.

132130222101240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132130222101240 is an abundant number, since it is smaller than the sum of its proper divisors (300307972951560).

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

132130222101240 is a wasteful number, since it uses less digits than its factorization.

132130222101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780957 (or 2780953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132130222101240 its reverse (42101222031231), we get a palindrome (174231444132471).

The spelling of 132130222101240 in words is "one hundred thirty-two trillion, one hundred thirty billion, two hundred twenty-two million, one hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 36473 72946 109419 145892 182365 218838 291784 364730 401203 437676 547095 729460 802406 875352 1094190 1203609 1458920 1604812 2006015 2188380 2407218 2744459 3209624 4012030 4376760 4814436 5488918 6018045 8024060 8233377 9628872 10977836 12036090 13722295 16048120 16466754 21955672 24072180 27444590 30189049 32933508 41166885 48144360 54889180 60378098 65867016 82333770 90567147 109778360 120756196 150945245 164667540 181134294 241512392 301890490 329335080 362268588 452835735 603780980 724537176 905671470 1207561960 1811342940 3622685880 100098653107 200197306214 300295959321 400394612428 500493265535 600591918642 800789224856 1000986531070 1101085184177 1201183837284 1501479796605 2001973062140 2202170368354 2402367674568 3002959593210 3303255552531 4003946124280 4404340736708 5505425920885 6005919186420 6606511105062 8808681473416 11010851841770 12011838372840 13213022210124 16516277762655 22021703683540 26426044420248 33032555525310 44043407367080 66065111050620 132130222101240