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3042102120 = 2335127433461
BaseRepresentation
bin1011010101010010…
…1100101101101000
321212000020210120220
42311110230231220
522212234231440
61221510450040
7135246304251
oct26524545550
97760223526
103042102120
111321207392
1270a963920
13396335b35
1420c045b28
1512c10d8d0
hexb552cb68

3042102120 has 128 divisors (see below), whose sum is σ = 9239408640. Its totient is φ = 801239040.

The previous prime is 3042102101. The next prime is 3042102143. The reversal of 3042102120 is 212012403.

3042102120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3042102120.

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, 6598690 + ... + 6599150.

It is an arithmetic number, because the mean of its divisors is an integer number (72182880).

Almost surely, 23042102120 is an apocalyptic number.

3042102120 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 3042102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619704320).

3042102120 is an abundant number, since it is smaller than the sum of its proper divisors (6197306520).

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

3042102120 is a wasteful number, since it uses less digits than its factorization.

3042102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3042102120 is about 55155.2546907364. The cubic root of 3042102120 is about 1448.9651149131.

Adding to 3042102120 its reverse (212012403), we get a palindrome (3254114523).

The spelling of 3042102120 in words is "three billion, forty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 433 461 508 635 762 866 922 1016 1270 1299 1383 1524 1732 1844 1905 2165 2305 2540 2598 2766 3048 3464 3688 3810 4330 4610 5080 5196 5532 6495 6915 7620 8660 9220 10392 11064 12990 13830 15240 17320 18440 25980 27660 51960 54991 55320 58547 109982 117094 164973 175641 199613 219964 234188 274955 292735 329946 351282 399226 439928 468376 549910 585470 598839 659892 702564 798452 824865 878205 998065 1099820 1170940 1197678 1319784 1405128 1596904 1649730 1756410 1996130 2199640 2341880 2395356 2994195 3299460 3512820 3992260 4790712 5988390 6598920 7025640 7984520 11976780 23953560 25350851 50701702 76052553 101403404 126754255 152105106 202806808 253508510 304210212 380262765 507017020 608420424 760525530 1014034040 1521051060 3042102120