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3134200350120 = 2335723162225691
BaseRepresentation
bin101101100110111100111…
…001100000010110101000
3102002121220210220102012220
4231212330321200112220
5402322320242200440
610355455354434040
7442303256261130
oct55467471402650
912077823812186
103134200350120
11aa9230431044
12427519432920
131997279a38b8
14ab9a6189ac0
15567db2058d0
hex2d9bce605a8

3134200350120 has 128 divisors (see below), whose sum is σ = 11213039831040. Its totient is φ = 685241314560.

The previous prime is 3134200350091. The next prime is 3134200350133. The reversal of 3134200350120 is 210530024313.

3134200350120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81093526 + ... + 81132165.

It is an arithmetic number, because the mean of its divisors is an integer number (87601873680).

Almost surely, 23134200350120 is an apocalyptic number.

3134200350120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134200350120 is an abundant number, since it is smaller than the sum of its proper divisors (8078839480920).

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

3134200350120 is a wasteful number, since it uses less digits than its factorization.

3134200350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162225735 (or 162225731 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 3134200350120 its reverse (210530024313), we get a palindrome (3344730374433).

The spelling of 3134200350120 in words is "three trillion, one hundred thirty-four billion, two hundred million, three hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 162225691 324451382 486677073 648902764 811128455 973354146 1135579837 1297805528 1622256910 1946708292 2271159674 2433385365 3244513820 3406739511 3731190893 3893416584 4542319348 4866770730 5677899185 6489027640 6813479022 7462381786 9084638696 9733541460 11193572679 11355798370 13626958044 14924763572 17033697555 18655954465 19467082920 22387145358 22711596740 26118336251 27253916088 29849527144 34067395110 37311908930 44774290716 45423193480 52236672502 55967863395 68134790220 74623817860 78355008753 89548581432 104473345004 111935726790 130591681255 136269580440 149247635720 156710017506 208946690008 223871453580 261183362510 313420035012 391775043765 447742907160 522366725020 626840070024 783550087530 1044733450040 1567100175060 3134200350120