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13022202016820 = 2253740014398293
BaseRepresentation
bin1011110101111111011110…
…1110011011010000110100
31201002220120122111211201202
42331133313232123100310
53201323432204014240
643410152250512032
72512552206544403
oct275376756332064
951086518454652
1013022202016820
114170759606627
121563959135618
13735cb061c689
143303c695163a
15178b0d8bc315
hexbd7f7b9b434

13022202016820 has 48 divisors (see below), whose sum is σ = 28092748250448. Its totient is φ = 5066832384000.

The previous prime is 13022202016819. The next prime is 13022202016829. The reversal of 13022202016820 is 2861020222031.

It can be written as a sum of positive squares in 8 ways, for example, as 86109381136 + 12936092635684 = 293444^2 + 3596678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022202016829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761594 + ... + 5159886.

It is an arithmetic number, because the mean of its divisors is an integer number (585265588551).

Almost surely, 213022202016820 is an apocalyptic number.

13022202016820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022202016820 is an abundant number, since it is smaller than the sum of its proper divisors (15070546233628).

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

13022202016820 is a wasteful number, since it uses less digits than its factorization.

13022202016820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402340 (or 4402338 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 13022202016820 its reverse (2861020222031), we get a palindrome (15883222238851).

The spelling of 13022202016820 in words is "thirteen trillion, twenty-two billion, two hundred two million, sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 4001 8002 16004 20005 40010 80020 148037 296074 592148 740185 1480370 2960740 4398293 8796586 17593172 21991465 43982930 87965860 162736841 325473682 650947364 813684205 1627368410 3254736820 17597570293 35195140586 70390281172 87987851465 175975702930 351951405860 651110100841 1302220201682 2604440403364 3255550504205 6511101008410 13022202016820