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132322102120 = 2351310713717359
BaseRepresentation
bin111101100111100000…
…0110000101101101000
3110122112202101020220001
41323033000300231220
54131443424231440
6140442105512344
712363031211245
oct1731700605550
9418482336801
10132322102120
115113241689a
122178a4a26b4
13c629cb7b60
146593a4c5cc
153696b4db9a
hex1ecf030b68

132322102120 has 128 divisors (see below), whose sum is σ = 326004134400. Its totient is φ = 48044722176.

The previous prime is 132322102111. The next prime is 132322102163. The reversal of 132322102120 is 21201223231.

132322102120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7614001 + ... + 7631359.

It is an arithmetic number, because the mean of its divisors is an integer number (2546907300).

Almost surely, 2132322102120 is an apocalyptic number.

132322102120 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 132322102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163002067200).

132322102120 is an abundant number, since it is smaller than the sum of its proper divisors (193682032280).

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

132322102120 is a wasteful number, since it uses less digits than its factorization.

132322102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17627 (or 17623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132322102120 its reverse (21201223231), we get a palindrome (153523325351).

The spelling of 132322102120 in words is "one hundred thirty-two billion, three hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 137 214 260 274 428 520 535 548 685 856 1070 1096 1370 1391 1781 2140 2740 2782 3562 4280 5480 5564 6955 7124 8905 11128 13910 14248 14659 17359 17810 27820 29318 34718 35620 55640 58636 69436 71240 73295 86795 117272 138872 146590 173590 190567 225667 293180 347180 381134 451334 586360 694360 762268 902668 952835 1128335 1524536 1805336 1857413 1905670 2256670 2378183 3714826 3811340 4513340 4756366 7429652 7622680 9026680 9287065 9512732 11890915 14859304 18574130 19025464 23781830 24146369 30916379 37148260 47563660 48292738 61832758 74296520 95127320 96585476 120731845 123665516 154581895 193170952 241463690 247331032 254465581 309163790 482927380 508931162 618327580 965854760 1017862324 1236655160 1272327905 2035724648 2544655810 3308052553 5089311620 6616105106 10178623240 13232210212 16540262765 26464420424 33080525530 66161051060 132322102120