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13002222123220 = 22511419443318403
BaseRepresentation
bin1011110100110101000011…
…0101001011100011010100
31201001000000012211002021111
42331031100311023203110
53201012022330420340
643353045520224404
72511244120341631
oct275152065134324
951030005732244
1013002222123220
11416323646a870
12155bb01a6b104
13734148164725
1432d44d1c1188
1517833e7c3aea
hexbd350d4b8d4

13002222123220 has 96 divisors (see below), whose sum is σ = 29925492871680. Its totient is φ = 4706134392960.

The previous prime is 13002222123161. The next prime is 13002222123221. The reversal of 13002222123220 is 2232122220031.

13002222123220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13002222123191 and 13002222123200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002222123221) 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, 40676539 + ... + 40994941.

It is an arithmetic number, because the mean of its divisors is an integer number (311723884080).

Almost surely, 213002222123220 is an apocalyptic number.

13002222123220 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 13002222123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962746435840).

13002222123220 is an abundant number, since it is smaller than the sum of its proper divisors (16923270748460).

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

13002222123220 is a wasteful number, since it uses less digits than its factorization.

13002222123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319285 (or 319283 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13002222123220 its reverse (2232122220031), we get a palindrome (15234344343251).

The spelling of 13002222123220 in words is "thirteen trillion, two billion, two hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 443 838 886 1676 1772 2095 2215 4190 4430 4609 4873 8380 8860 9218 9746 18436 19492 23045 24365 46090 48730 92180 97460 185617 318403 371234 636806 742468 928085 1273612 1592015 1856170 2041787 3184030 3502433 3712340 4083574 6368060 7004866 8167148 10208935 14009732 17512165 20417870 35024330 40835740 70048660 133410857 141052529 266821714 282105058 533643428 564210116 667054285 705262645 1334108570 1410525290 1467519427 1551577819 2668217140 2821050580 2935038854 3103155638 5870077708 6206311276 7337597135 7757889095 14675194270 15515778190 29350388540 31031556380 59101009651 118202019302 236404038604 295505048255 591010096510 650111106161 1182020193020 1300222212322 2600444424644 3250555530805 6501111061610 13002222123220