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3010200214120 = 2351122412580673
BaseRepresentation
bin101011110011011101111…
…010100001101001101000
3101122202212000202211201021
4223303131322201221220
5343304342223322440
610222511125302224
7430323365434501
oct53633572415150
911582760684637
103010200214120
11a606895aa600
12407491b64974
1318ab25b4ac68
14a59a1895ba8
155347ee9e84a
hex2bcddea1a68

3010200214120 has 96 divisors (see below), whose sum is σ = 7475541602760. Its totient is φ = 1090075852800.

The previous prime is 3010200214111. The next prime is 3010200214121. The reversal of 3010200214120 is 214120020103.

It can be written as a sum of positive squares in 4 ways, for example, as 2177153368324 + 833046845796 = 1475518^2 + 912714^2 .

It is a super-2 number, since 2×30102002141202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3010200214094 and 3010200214103.

It is not an unprimeable number, because it can be changed into a prime (3010200214121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123897 + ... + 2456776.

Almost surely, 23010200214120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3010200214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737770801380).

3010200214120 is an abundant number, since it is smaller than the sum of its proper divisors (4465341388640).

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

3010200214120 is a wasteful number, since it uses less digits than its factorization.

3010200214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580947 (or 2580932 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 3010200214120 its reverse (214120020103), we get a palindrome (3224320234223).

The spelling of 3010200214120 in words is "three trillion, ten billion, two hundred million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 241 242 440 482 484 605 964 968 1205 1210 1928 2410 2420 2651 4820 4840 5302 9640 10604 13255 21208 26510 29161 53020 58322 106040 116644 145805 233288 291610 583220 1166440 2580673 5161346 10322692 12903365 20645384 25806730 28387403 51613460 56774806 103226920 113549612 141937015 227099224 283874030 312261433 567748060 621942193 624522866 1135496120 1243884386 1249045732 1561307165 2487768772 2498091464 3109710965 3122614330 4975537544 6219421930 6245228660 6841364123 12438843860 12490457320 13682728246 24877687720 27365456492 34206820615 54730912984 68413641230 75255005353 136827282460 150510010706 273654564920 301020021412 376275026765 602040042824 752550053530 1505100107060 3010200214120