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3002340100104 = 23321071051370801
BaseRepresentation
bin101011101100001001011…
…010100100100000001000
3101122000120020120200022100
4223230021122210200020
5343142243031200404
610215131143553400
7426624533531262
oct53541132444010
911560506520270
103002340100104
11a58315796604
12405a5975b860
1318a1725a5317
14a5457a02b32
155316edd6d39
hex2bb096a4808

3002340100104 has 96 divisors (see below), whose sum is σ = 8215162806240. Its totient is φ = 990480960000.

The previous prime is 3002340100103. The next prime is 3002340100127. The reversal of 3002340100104 is 4010010432003.

3002340100104 is a `hidden beast` number, since 300 + 2 + 340 + 10 + 0 + 10 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3002340100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7911504 + ... + 8282304.

It is an arithmetic number, because the mean of its divisors is an integer number (85574612565).

Almost surely, 23002340100104 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 3002340100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107581403120).

3002340100104 is an abundant number, since it is smaller than the sum of its proper divisors (5212822706136).

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

3002340100104 is a wasteful number, since it uses less digits than its factorization.

3002340100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371971 (or 371964 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3002340100104 its reverse (4010010432003), we get a palindrome (7012350532107).

The spelling of 3002340100104 in words is "three trillion, two billion, three hundred forty million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1051 1284 1926 2102 2568 3153 3852 4204 6306 7704 8408 9459 12612 18918 25224 37836 75672 112457 224914 337371 370801 449828 674742 741602 899656 1012113 1112403 1349484 1483204 2024226 2224806 2698968 2966408 3337209 4048452 4449612 6674418 8096904 8899224 13348836 26697672 39675707 79351414 119027121 158702828 238054242 317405656 357081363 389711851 476108484 714162726 779423702 952216968 1169135553 1428325452 1558847404 2338271106 2856650904 3117694808 3507406659 4676542212 7014813318 9353084424 14029626636 28059253272 41699168057 83398336114 125097504171 166796672228 250195008342 333593344456 375292512513 500390016684 750585025026 1000780033368 1501170050052 3002340100104