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3104131512420 = 2232543557720019
BaseRepresentation
bin101101001010111100101…
…001111111100001100100
3101222202022021002012021100
4231022330221333201210
5401324230131344140
610334003543120100
7440160162336231
oct55127451774144
911882267065240
103104131512420
11a97500350254
12421727443030
13196945289043
14aa352942788
1555b2b530530
hex2d2bca7f864

3104131512420 has 144 divisors (see below), whose sum is σ = 9652150347840. Its totient is φ = 807065296128.

The previous prime is 3104131512409. The next prime is 3104131512431. The reversal of 3104131512420 is 242151314013.

3104131512420 is a `hidden beast` number, since 3 + 1 + 0 + 413 + 1 + 5 + 1 + 242 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3104131512409) and next prime (3104131512431).

It is a super-2 number, since 2×31041315124202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3951171 + ... + 4671189.

It is an arithmetic number, because the mean of its divisors is an integer number (67028821860).

Almost surely, 23104131512420 is an apocalyptic number.

3104131512420 is a gapful number since it is divisible by the number (30) 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 3104131512420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826075173920).

3104131512420 is an abundant number, since it is smaller than the sum of its proper divisors (6548018835420).

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

3104131512420 is a wasteful number, since it uses less digits than its factorization.

3104131512420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720634 (or 720629 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 3104131512420 its reverse (242151314013), we get a palindrome (3346282826433).

The spelling of 3104131512420 in words is "three trillion, one hundred four billion, one hundred thirty-one million, five hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 557 645 774 860 1114 1290 1548 1671 1935 2228 2580 2785 3342 3870 5013 5570 6684 7740 8355 10026 11140 16710 20052 23951 25065 33420 47902 50130 71853 95804 100260 119755 143706 215559 239510 287412 359265 431118 479020 718530 720019 862236 1077795 1437060 1440038 2155590 2160057 2880076 3600095 4311180 4320114 6480171 7200190 8640228 10800285 12960342 14400380 21600570 25920684 30960817 32400855 43201140 61921634 64801710 92882451 123843268 129603420 154804085 185764902 278647353 309608170 371529804 401050583 464412255 557294706 619216340 802101166 928824510 1114589412 1203151749 1393236765 1604202332 1857649020 2005252915 2406303498 2786473530 3609455247 4010505830 4812606996 5572947060 6015758745 7218910494 8021011660 12031517490 14437820988 17245175069 18047276235 24063034980 34490350138 36094552470 51735525207 68980700276 72189104940 86225875345 103471050414 155206575621 172451750690 206942100828 258677626035 310413151242 344903501380 517355252070 620826302484 776032878105 1034710504140 1552065756210 3104131512420