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3431230000230 = 2352989166326647
BaseRepresentation
bin110001111011100101001…
…111101100110001100110
3110011000121022121000221010
4301323211033230301212
5422204124340001410
611144141343003050
7502620035531334
oct61734517546146
913130538530833
103431230000230
1111031a397951a
12474bb3b99486
131bb7432cc906
14bc102a02b54
155e3c2c2ac20
hex31ee53ecc66

3431230000230 has 128 divisors (see below), whose sum is σ = 8620137676800. Its totient is φ = 872958772224.

The previous prime is 3431230000207. The next prime is 3431230000241. The reversal of 3431230000230 is 320000321343.

It is a junction number, because it is equal to n+sod(n) for n = 3431230000197 and 3431230000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128752767 + ... + 128779413.

It is an arithmetic number, because the mean of its divisors is an integer number (67344825600).

Almost surely, 23431230000230 is an apocalyptic number.

3431230000230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431230000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310068838400).

3431230000230 is an abundant number, since it is smaller than the sum of its proper divisors (5188907676570).

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

3431230000230 is a wasteful number, since it uses less digits than its factorization.

3431230000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28438.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 3431230000230 its reverse (320000321343), we get a palindrome (3751230321573).

The spelling of 3431230000230 in words is "three trillion, four hundred thirty-one billion, two hundred thirty million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 29 30 58 87 89 145 174 178 267 290 435 445 534 870 890 1335 1663 2581 2670 3326 4989 5162 7743 8315 9978 12905 15486 16630 24945 25810 26647 38715 48227 49890 53294 77430 79941 96454 133235 144681 148007 159882 241135 266470 289362 296014 399705 444021 482270 723405 740035 772763 799410 888042 1446810 1480070 1545526 2220105 2318289 2371583 3863815 4292203 4440210 4636578 4743166 7114749 7727630 8584406 11591445 11857915 12876609 14229498 21461015 23182890 23715830 25753218 35573745 42922030 44313961 64383045 68775907 71147490 88627922 128766090 132941883 137551814 206327721 221569805 265883766 343879535 412655442 443139610 664709415 687759070 1031638605 1285104869 1329418830 2063277210 2570209738 3855314607 3943942529 6425524345 7710629214 7887885058 11831827587 12851048690 19276573035 19719712645 23663655174 38553146070 39439425290 59159137935 114374333341 118318275870 228748666682 343123000023 571871666705 686246000046 1143743333410 1715615000115 3431230000230