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13132101200220 = 22325374783412249
BaseRepresentation
bin1011111100011000111000…
…1110100010100101011100
31201111102020201012210201200
42333012032032202211130
53210124020401401340
643532445355435500
72523522465312042
oct277061616424534
951442221183650
1013132101200220
114203324857732
12158110a155b90
13743475c7b192
143358505b0392
1517b8e1bed330
hexbf18e3a295c

13132101200220 has 144 divisors (see below), whose sum is σ = 40919288592000. Its totient is φ = 3406527249408.

The previous prime is 13132101200209. The next prime is 13132101200237. The reversal of 13132101200220 is 2200210123131.

13132101200220 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 0 + 120 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13132101200193 and 13132101200202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31648656 + ... + 32060904.

Almost surely, 213132101200220 is an apocalyptic number.

13132101200220 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 13132101200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459644296000).

13132101200220 is an abundant number, since it is smaller than the sum of its proper divisors (27787187391780).

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

13132101200220 is a wasteful number, since it uses less digits than its factorization.

13132101200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417084 (or 417079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13132101200220 its reverse (2200210123131), we get a palindrome (15332311323351).

The spelling of 13132101200220 in words is "thirteen trillion, one hundred thirty-two billion, one hundred one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 4783 6660 9566 14349 19132 23915 28698 43047 47830 57396 71745 86094 95660 143490 172188 176971 215235 286980 353942 412249 430470 530913 707884 824498 860940 884855 1061826 1236747 1592739 1648996 1769710 2061245 2123652 2473494 2654565 3185478 3539420 3710241 4122490 4946988 5309130 6183735 6370956 7420482 7963695 8244980 10618260 12367470 14840964 15253213 15927390 18551205 24734940 30506426 31854780 37102410 45759639 61012852 74204820 76266065 91519278 137278917 152532130 183038556 228798195 274557834 305064260 457596390 549115668 686394585 915192780 1372789170 1971786967 2745578340 3943573934 5915360901 7887147868 9858934835 11830721802 17746082703 19717869670 23661443604 29576804505 35492165406 39435739340 59153609010 70984330812 72956117779 88730413515 118307218020 145912235558 177460827030 218868353337 291824471116 354921654060 364780588895 437736706674 656605060011 729561177790 875473413348 1094341766685 1313210120022 1459122355580 2188683533370 2626420240044 3283025300055 4377367066740 6566050600110 13132101200220