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132210000003192 = 23323263910687717
BaseRepresentation
bin11110000011111010001010…
…000101100000000001111000
3122100010011010012220121201220
4132003322022011200001320
5114312112040000100232
61145104234023512040
736563600022611016
oct3603721205400170
9570104105817656
10132210000003192
1139142a45326661
12129b32255b8620
1358a0470b27477
142490dd8c938b6
1510441438a942c
hex783e8a160078

132210000003192 has 64 divisors (see below), whose sum is σ = 346207042874880. Its totient is φ = 41993631960192.

The previous prime is 132210000003163. The next prime is 132210000003203. The reversal of 132210000003192 is 291300000012231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455198683 + ... + 455489034.

It is an arithmetic number, because the mean of its divisors is an integer number (5409485044920).

Almost surely, 2132210000003192 is an apocalyptic number.

132210000003192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132210000003192 is an abundant number, since it is smaller than the sum of its proper divisors (213997042871688).

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

132210000003192 is a wasteful number, since it uses less digits than its factorization.

132210000003192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910688012 (or 910688008 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 132210000003192 in words is "one hundred thirty-two trillion, two hundred ten billion, three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 263 276 526 552 789 1052 1578 2104 3156 6049 6312 12098 18147 24196 36294 48392 72588 145176 910687717 1821375434 2732063151 3642750868 5464126302 7285501736 10928252604 20945817491 21856505208 41891634982 62837452473 83783269964 125674904946 167566539928 239510869571 251349809892 479021739142 502699619784 718532608713 958043478284 1437065217426 1916086956568 2874130434852 5508750000133 5748260869704 11017500000266 16526250000399 22035000000532 33052500000798 44070000001064 66105000001596 132210000003192