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1114334240220 = 2232519348176659
BaseRepresentation
bin10000001101110011011…
…111110001110111011100
310221112021212110121200200
4100031303133301313130
5121224124031141340
62211530150023500
7143336145521235
oct20156337616734
93845255417620
101114334240220
1139a64a69a913
1215bb70347b90
1381109712c16
143bd1110808c
151debe108330
hex103737f1ddc

1114334240220 has 144 divisors (see below), whose sum is σ = 3398876601120. Its totient is φ = 295510376448.

The previous prime is 1114334240219. The next prime is 1114334240221. The reversal of 1114334240220 is 220424334111.

1114334240220 is a `hidden beast` number, since 1 + 1 + 1 + 433 + 4 + 2 + 4 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1114334240219) and next prime (1114334240221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114334240221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167339251 + ... + 167345909.

It is an arithmetic number, because the mean of its divisors is an integer number (23603309730).

Almost surely, 21114334240220 is an apocalyptic number.

1114334240220 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 1114334240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699438300560).

1114334240220 is an abundant number, since it is smaller than the sum of its proper divisors (2284542360900).

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

1114334240220 is a wasteful number, since it uses less digits than its factorization.

1114334240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11684 (or 11679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1114334240220 its reverse (220424334111), we get a palindrome (1334758574331).

The spelling of 1114334240220 in words is "one trillion, one hundred fourteen billion, three hundred thirty-four million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2895 3474 3860 4817 5790 6659 6948 8685 9634 11580 13318 14451 17370 19268 19977 24085 26636 28902 33295 34740 39954 43353 48170 57804 59931 66590 72255 79908 86706 96340 99885 119862 133180 144510 173412 199770 216765 239724 289020 299655 399540 433530 599310 867060 929681 1198620 1285187 1859362 2570374 2789043 3718724 3855561 4648405 5140748 5578086 6425935 7711122 8367129 9296810 11156172 11566683 12851870 13945215 15422244 16734258 18593620 19277805 23133366 25703740 27890430 32076403 33468516 38555610 41835645 46266732 55780860 57833415 64152806 77111220 83671290 96229209 115666830 128305612 160382015 167342580 192458418 231333660 288687627 320764030 384916836 481146045 577375254 641528060 962292090 1154750508 1443438135 1924584180 2886876270 5773752540 6190745779 12381491558 18572237337 24762983116 30953728895 37144474674 55716712011 61907457790 74288949348 92861186685 111433424022 123814915580 185722373370 222866848044 278583560055 371444746740 557167120110 1114334240220