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13000022032110 = 2354321861125933
BaseRepresentation
bin1011110100101100110110…
…1100011111111011101110
31201000210022212221212122120
42331023031230133323232
53200443021120011420
643352043324453410
72511135444023061
oct275131554377356
951023285855576
1013000022032110
114162307588853
12155b5a90aa266
13733b87400779
1432d2c0d1c8d8
15178261589d40
hexbd2cdb1feee

13000022032110 has 96 divisors (see below), whose sum is σ = 31959927463968. Its totient is φ = 3384205896960.

The previous prime is 13000022032091. The next prime is 13000022032117. The reversal of 13000022032110 is 1123022000031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13000022032110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000022032117) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 103166704 + ... + 103292636.

It is an arithmetic number, because the mean of its divisors is an integer number (332915911083).

Almost surely, 213000022032110 is an apocalyptic number.

13000022032110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000022032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979963731984).

13000022032110 is an abundant number, since it is smaller than the sum of its proper divisors (18959905431858).

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

13000022032110 is a wasteful number, since it uses less digits than its factorization.

13000022032110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127890 (or 127847 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13000022032110 its reverse (1123022000031), we get a palindrome (14123044032141).

The spelling of 13000022032110 in words is "thirteen trillion, twenty-two million, thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 1849 1861 3698 3722 5547 5583 9245 9305 11094 11166 18490 18610 27735 27915 55470 55830 80023 125933 160046 240069 251866 377799 400115 480138 629665 755598 800230 1200345 1259330 1888995 2400690 3440989 3777990 5415119 6881978 10322967 10830238 16245357 17204945 20645934 27075595 32490714 34409890 51614835 54151190 81226785 103229670 162453570 232850117 234361313 465700234 468722626 698550351 703083939 1164250585 1171806565 1397100702 1406167878 2328501170 2343613130 3492751755 3515419695 6985503510 7030839390 10077536459 20155072918 30232609377 50387682295 60465218754 100775364590 151163046885 302326093770 433334067737 866668135474 1300002203211 2166670338685 2600004406422 4333340677370 6500011016055 13000022032110