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13022032321320 = 23351123114268791
BaseRepresentation
bin1011110101111110110110…
…0111000101101100101000
31201002220010211012102021020
42331133231213011230220
53201323110233240240
643410123345412440
72512545046264341
oct275375547055450
951086124172236
1013022032321320
114170681841910
12156391033a120
13735c84415b39
143303ac1bb0c8
15178aeda4c0d0
hexbd7ed9c5b28

13022032321320 has 128 divisors (see below), whose sum is σ = 42636011489280. Its totient is φ = 3155489568000.

The previous prime is 13022032321283. The next prime is 13022032321327. The reversal of 13022032321320 is 2312323022031.

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

It is not an unprimeable number, because it can be changed into a prime (13022032321327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916125 + ... + 5184915.

It is an arithmetic number, because the mean of its divisors is an integer number (333093839760).

Almost surely, 213022032321320 is an apocalyptic number.

13022032321320 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 13022032321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318005744640).

13022032321320 is an abundant number, since it is smaller than the sum of its proper divisors (29613979167960).

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

13022032321320 is a wasteful number, since it uses less digits than its factorization.

13022032321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271127 (or 4271123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13022032321320 its reverse (2312323022031), we get a palindrome (15334355343351).

The spelling of 13022032321320 in words is "thirteen trillion, twenty-two billion, thirty-two million, three hundred twenty-one thousand, three hundred twenty".

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 2311 4622 6933 9244 11555 13866 18488 23110 25421 27732 34665 46220 50842 55464 69330 76263 92440 101684 127105 138660 152526 203368 254210 277320 305052 381315 508420 610104 762630 1016840 1525260 3050520 4268791 8537582 12806373 17075164 21343955 25612746 34150328 42687910 46956701 51225492 64031865 85375820 93913402 102450984 128063730 140870103 170751640 187826804 234783505 256127460 281740206 375653608 469567010 512254920 563480412 704350515 939134020 1126960824 1408701030 1878268040 2817402060 5634804120 9865176001 19730352002 29595528003 39460704004 49325880005 59191056006 78921408008 98651760010 108516936011 118382112012 147977640015 197303520020 217033872022 236764224024 295955280030 325550808033 394607040040 434067744044 542584680055 591910560060 651101616066 868135488088 1085169360110 1183821120120 1302203232132 1627754040165 2170338720220 2604406464264 3255508080330 4340677440440 6511016160660 13022032321320