Search a number
-
+
3121220310300 = 2232525696094943
BaseRepresentation
bin101101011010110111001…
…110100101010100011100
3102001101102012200001222100
4231122313032211110130
5402114224344412200
610345511355245100
7441333514615341
oct55326716452434
912041365601870
103121220310300
11aa377a54a004
12424ab6449790
131984397a0171
14ab0d43387c8
15562cb8e7d00
hex2d6b73a551c

3121220310300 has 108 divisors (see below), whose sum is σ = 9800487103680. Its totient is φ = 830862493440.

The previous prime is 3121220310283. The next prime is 3121220310301. The reversal of 3121220310300 is 30130221213.

3121220310300 is a `hidden beast` number, since 31 + 2 + 1 + 2 + 20 + 310 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121220310301) 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 35 ways as a sum of consecutive naturals, for example, 2535372 + ... + 3559571.

It is an arithmetic number, because the mean of its divisors is an integer number (90745250960).

Almost surely, 23121220310300 is an apocalyptic number.

3121220310300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121220310300 is an abundant number, since it is smaller than the sum of its proper divisors (6679266793380).

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

3121220310300 is a wasteful number, since it uses less digits than its factorization.

3121220310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095532 (or 6095522 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3121220310300 its reverse (30130221213), we get a palindrome (3151350531513).

The spelling of 3121220310300 in words is "three trillion, one hundred twenty-one billion, two hundred twenty million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 569 900 1138 1707 2276 2845 3414 5121 5690 6828 8535 10242 11380 14225 17070 20484 25605 28450 34140 42675 51210 56900 85350 102420 128025 170700 256050 512100 6094943 12189886 18284829 24379772 30474715 36569658 54854487 60949430 73139316 91424145 109708974 121898860 152373575 182848290 219417948 274272435 304747150 365696580 457120725 548544870 609494300 914241450 1097089740 1371362175 1828482900 2742724350 3468022567 5485448700 6936045134 10404067701 13872090268 17340112835 20808135402 31212203103 34680225670 41616270804 52020338505 62424406206 69360451340 86700564175 104040677010 124848812412 156061015515 173401128350 208081354020 260101692525 312122031030 346802256700 520203385050 624244062060 780305077575 1040406770100 1560610155150 3121220310300