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13222100331120 = 2435233177268001
BaseRepresentation
bin1100000001101000001010…
…0101111110101001110000
31201211000112220110100200010
43000122002211332221300
53213112330141043440
644042052105254520
72533156654305552
oct300320245765160
951730486410603
1013222100331120
114238508a3485a
121596646794440
1374bab98579a5
14339d4b3234d2
1517de0ce57580
hexc068297ea70

13222100331120 has 160 divisors (see below), whose sum is σ = 44150318198784. Its totient is φ = 3263800320000.

The previous prime is 13222100331101. The next prime is 13222100331131. The reversal of 13222100331120 is 2113300122231.

It is a super-2 number, since 2×132221003311202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38462881 + ... + 38805120.

Almost surely, 213222100331120 is an apocalyptic number.

13222100331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222100331120 is an abundant number, since it is smaller than the sum of its proper divisors (30928217867664).

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

13222100331120 is a wasteful number, since it uses less digits than its factorization.

13222100331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77268071 (or 77268065 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13222100331120 its reverse (2113300122231), we get a palindrome (15335400453351).

The spelling of 13222100331120 in words is "thirteen trillion, two hundred twenty-two billion, one hundred million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1380 1426 1488 1840 1860 2139 2480 2760 2852 3565 3720 4278 5520 5704 7130 7440 8556 10695 11408 14260 17112 21390 28520 34224 42780 57040 85560 171120 77268001 154536002 231804003 309072004 386340005 463608006 618144008 772680010 927216012 1159020015 1236288016 1545360020 1777164023 1854432024 2318040030 2395308031 3090720040 3554328046 3708864048 4636080060 4790616062 5331492069 6181440080 7108656092 7185924093 8885820115 9272160120 9581232124 10662984138 11976540155 14217312184 14371848186 17771640230 18544320240 19162464248 21325968276 23953080310 26657460345 28434624368 28743696372 35543280460 35929620465 38324928496 42651936552 47906160620 53314920690 55092084713 57487392744 71086560920 71859240930 85303873104 95812321240 106629841380 110184169426 114974785488 142173121840 143718481860 165276254139 191624642480 213259682760 220368338852 275460423565 287436963720 330552508278 426519365520 440736677704 550920847130 574873927440 661105016556 826381270695 881473355408 1101841694260 1322210033112 1652762541390 2203683388520 2644420066224 3305525082780 4407366777040 6611050165560 13222100331120