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3131220240 = 24355161071
BaseRepresentation
bin1011101010100010…
…1010000100010000
322002012221110200000
42322220222010100
522403043021430
61234412530000
7140410634661
oct27250520420
98065843600
103131220240
111367546125
12734780900
133ab939555
14219c03368
15134d63e60
hexbaa2a110

3131220240 has 120 divisors (see below), whose sum is σ = 10905218688. Its totient is φ = 834986880.

The previous prime is 3131220233. The next prime is 3131220241. The reversal of 3131220240 is 420221313.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (3131220241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61096 + ... + 99975.

Almost surely, 23131220240 is an apocalyptic number.

3131220240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131220240 is an abundant number, since it is smaller than the sum of its proper divisors (7773998448).

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

3131220240 is a wasteful number, since it uses less digits than its factorization.

3131220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161099 (or 161081 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3131220240 is about 55957.3072976175. The cubic root of 3131220240 is about 1462.9782577872.

Adding to 3131220240 its reverse (420221313), we get a palindrome (3551441553).

The spelling of 3131220240 in words is "three billion, one hundred thirty-one million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 161071 322142 483213 644284 805355 966426 1288568 1449639 1610710 1932852 2416065 2577136 2899278 3221420 3865704 4348917 4832130 5798556 6442840 7248195 7731408 8697834 9664260 11597112 12885680 13046751 14496390 17395668 19328520 21744585 23194224 26093502 28992780 34791336 38657040 39140253 43489170 52187004 57985560 65233755 69582672 78280506 86978340 104374008 115971120 130467510 156561012 173956680 195701265 208748016 260935020 313122024 347913360 391402530 521870040 626244048 782805060 1043740080 1565610120 3131220240