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23420121340 = 22572117329761
BaseRepresentation
bin10101110011111100…
…101011000011111100
32020110012002102201111
4111303330223003330
5340431022340330
614431542251404
71456241514100
oct256374530374
966405072644
1023420121340
119a29058890
124657426b64
132293127185
1411c260d900
1592114a32a
hex573f2b0fc

23420121340 has 144 divisors (see below), whose sum is σ = 63270202464. Its totient is φ = 7199539200.

The previous prime is 23420121337. The next prime is 23420121341. The reversal of 23420121340 is 4312102432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23420121341) 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, 772060 + ... + 801820.

It is an arithmetic number, because the mean of its divisors is an integer number (439376406).

Almost surely, 223420121340 is an apocalyptic number.

23420121340 is a gapful number since it is divisible by the number (20) 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 23420121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31635101232).

23420121340 is an abundant number, since it is smaller than the sum of its proper divisors (39850081124).

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

23420121340 is a wasteful number, since it uses less digits than its factorization.

23420121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29868 (or 29859 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23420121340 its reverse (4312102432), we get a palindrome (27732223772).

The spelling of 23420121340 in words is "twenty-three billion, four hundred twenty million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 73 77 98 110 140 146 154 196 220 245 292 308 365 385 490 511 539 730 770 803 980 1022 1078 1460 1540 1606 2044 2156 2555 2695 3212 3577 4015 5110 5390 5621 7154 8030 10220 10780 11242 14308 16060 17885 22484 28105 29761 35770 39347 56210 59522 71540 78694 112420 119044 148805 157388 196735 208327 297610 327371 393470 416654 595220 654742 786940 833308 1041635 1309484 1458289 1636855 2083270 2172553 2291597 2916578 3273710 4166540 4345106 4583194 5833156 6547420 7291445 8690212 9166388 10862765 11457985 14582890 15207871 16041179 21725530 22915970 23898083 29165780 30415742 32082358 43451060 45831940 47796166 60831484 64164716 76039355 80205895 95592332 106455097 119490415 152078710 160411790 167286581 212910194 238980830 304157420 320823580 334573162 425820388 477961660 532275485 669146324 836432905 1064550970 1171006067 1672865810 2129101940 2342012134 3345731620 4684024268 5855030335 11710060670 23420121340