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13220330410100 = 22521137717745259
BaseRepresentation
bin1100000001100001100100…
…0110010001000001110100
31201210211222120001001110202
43000120121012101001310
53213100214041110400
644041200321540032
72533065053236142
oct300303106210164
951724876031422
1013220330410100
11423778a954a10
121596231aa4618
1374b896c69848
14339c2023a592
1517dd578914d5
hexc0619191074

13220330410100 has 144 divisors (see below), whose sum is σ = 32147157658560. Its totient is φ = 4676708275200.

The previous prime is 13220330410099. The next prime is 13220330410123. The reversal of 13220330410100 is 101403302231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292081271 + ... + 292126529.

Almost surely, 213220330410100 is an apocalyptic number.

13220330410100 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 13220330410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073578829280).

13220330410100 is an abundant number, since it is smaller than the sum of its proper divisors (18926827248460).

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

13220330410100 is a wasteful number, since it uses less digits than its factorization.

13220330410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52498 (or 52491 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13220330410100 its reverse (101403302231), we get a palindrome (13321733712331).

The spelling of 13220330410100 in words is "thirteen trillion, two hundred twenty billion, three hundred thirty million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 7177 8140 10175 14354 20350 28708 35885 40700 45259 71770 78947 90518 143540 157894 179425 181036 226295 265549 315788 358850 394735 452590 497849 531098 717700 789470 905180 995698 1062196 1131475 1327745 1578940 1674583 1973675 1991396 2262950 2489245 2655490 2921039 3349166 3947350 4525900 4978490 5310980 5842078 6638725 6698332 7894700 8372915 9956980 11684156 12446225 13277450 14605195 16745830 18420413 24892450 26554900 29210390 33491660 36840826 41864575 49784900 58420780 73025975 73681652 83729150 92102065 146051950 167458300 184204130 292103900 324823843 368408260 460510325 649647686 921020650 1299295372 1624119215 1842041300 3248238430 3573062273 6496476860 7146124546 8120596075 12018482191 14292249092 16241192150 17865311365 24036964382 32482384300 35730622730 48073928764 60092410955 71461245460 89326556825 120184821910 132203304101 178653113650 240369643820 264406608202 300462054775 357306227300 528813216404 600924109550 661016520505 1201848219100 1322033041010 2644066082020 3305082602525 6610165205050 13220330410100