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220122130143040 = 2657947569183047
BaseRepresentation
bin110010000011001100101101…
…010111111101011101000000
31001212101110200201111122122021
4302003030231113331131000
5212322440110304034130
62100054413252251224
764236204405411406
oct6203145527753500
91055343621448567
10220122130143040
11641572a89914a4
1220831188010b14
1395a9573b6cc38
143c4dd7a07d476
151a6ad35de937a
hexc8332d5fd740

220122130143040 has 112 divisors (see below), whose sum is σ = 530814891225600. Its totient is φ = 86932007165952.

The previous prime is 220122130143031. The next prime is 220122130143049. The reversal of 220122130143040 is 40341031221022.

220122130143040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220122130143031) and next prime (220122130143049).

It is a junction number, because it is equal to n+sod(n) for n = 220122130142996 and 220122130143014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122130143049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1202452797 + ... + 1202635843.

Almost surely, 2220122130143040 is an apocalyptic number.

220122130143040 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 220122130143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265407445612800).

220122130143040 is an abundant number, since it is smaller than the sum of its proper divisors (310692761082560).

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

220122130143040 is a wasteful number, since it uses less digits than its factorization.

220122130143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230712 (or 230702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 220122130143040 its reverse (40341031221022), we get a palindrome (260463161364062).

The spelling of 220122130143040 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred thirty million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2528 3160 5056 6320 12640 25280 47569 95138 183047 190276 237845 366094 380552 475690 732188 761104 915235 951380 1464376 1522208 1830470 1902760 2928752 3044416 3660940 3757951 3805520 5857504 7321880 7515902 7611040 11715008 14460713 14643760 15031804 15222080 18789755 28921426 29287520 30063608 37579510 57842852 58575040 60127216 72303565 75159020 115685704 120254432 144607130 150318040 231371408 240508864 289214260 300636080 462742816 578428520 601272160 925485632 1156857040 1202544320 2313714080 4627428160 8707362743 17414725486 34829450972 43536813715 69658901944 87073627430 139317803888 174147254860 278635607776 348294509720 557271215552 687881656697 696589019440 1375763313394 1393178038880 2751526626788 2786356077760 3439408283485 5503053253576 6878816566970 11006106507152 13757633133940 22012213014304 27515266267880 44024426028608 55030532535760 110061065071520 220122130143040