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3002135100 = 22352292331481
BaseRepresentation
bin1011001011110000…
…1111001000111100
321202020001021010220
42302330033020330
522122021310400
61213522101340
7134252504316
oct26274171074
97666037126
103002135100
111300699598
126b94aa850
1338ac81303
14206a007b6
151288667a0
hexb2f0f23c

3002135100 has 144 divisors (see below), whose sum is σ = 9030359520. Its totient is φ = 769126400.

The previous prime is 3002135083. The next prime is 3002135117. The reversal of 3002135100 is 15312003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3002135083) and next prime (3002135117).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3002135100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2026360 + ... + 2027840.

It is an arithmetic number, because the mean of its divisors is an integer number (62710830).

Almost surely, 23002135100 is an apocalyptic number.

3002135100 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 3002135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515179760).

3002135100 is an abundant number, since it is smaller than the sum of its proper divisors (6028224420).

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

3002135100 is a wasteful number, since it uses less digits than its factorization.

3002135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3002135100 is about 54791.7429910749. The cubic root of 3002135100 is about 1442.5916388432.

Adding to 3002135100 its reverse (15312003), we get a palindrome (3017447103).

The spelling of 3002135100 in words is "three billion, two million, one hundred thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 233 290 300 348 435 466 580 699 725 870 932 1165 1398 1450 1481 1740 2175 2330 2796 2900 2962 3495 4350 4443 4660 5825 5924 6757 6990 7405 8700 8886 11650 13514 13980 14810 17475 17772 20271 22215 23300 27028 29620 33785 34950 37025 40542 42949 44430 67570 69900 74050 81084 85898 88860 101355 111075 128847 135140 148100 168925 171796 202710 214745 222150 257694 337850 345073 405420 429490 444300 506775 515388 644235 675700 690146 858980 1013550 1035219 1073725 1288470 1380292 1725365 2027100 2070438 2147450 2576940 3221175 3450730 4140876 4294900 5176095 6442350 6901460 8626825 10007117 10352190 12884700 17253650 20014234 20704380 25880475 30021351 34507300 40028468 50035585 51760950 60042702 100071170 103521900 120085404 150106755 200142340 250177925 300213510 500355850 600427020 750533775 1000711700 1501067550 3002135100