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3133101003424 = 25731216019091
BaseRepresentation
bin101101100101111011010…
…111110101001010100000
3102002112002012021211001121
4231211323113311022200
5402313042324102144
610355154323542024
7442234110055540
oct55457327651240
912075065254047
103133101003424
11aa8816922657
1242727122a914
131995b0cc13b2
14ab90017b320
155677494d384
hex2d97b5f52a0

3133101003424 has 144 divisors (see below), whose sum is σ = 7289566861248. Its totient is φ = 1298488320000.

The previous prime is 3133101003397. The next prime is 3133101003497. The reversal of 3133101003424 is 4243001013313.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 344633119 + ... + 344642209.

It is an arithmetic number, because the mean of its divisors is an integer number (50621992092).

Almost surely, 23133101003424 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 3133101003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644783430624).

3133101003424 is an abundant number, since it is smaller than the sum of its proper divisors (4156465857824).

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

3133101003424 is a wasteful number, since it uses less digits than its factorization.

3133101003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10771 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3133101003424 its reverse (4243001013313), we get a palindrome (7376102016737).

The spelling of 3133101003424 in words is "three trillion, one hundred thirty-three billion, one hundred one million, three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 961 992 1601 1736 1922 3202 3472 3844 6404 6727 6944 7688 9091 11207 12808 13454 15376 18182 22414 25616 26908 30752 36364 44828 49631 51232 53816 63637 72728 89656 99262 107632 127274 145456 179312 198524 215264 254548 281821 290912 347417 358624 397048 509096 563642 694834 794096 1018192 1127284 1389668 1538561 1588192 1972747 2036384 2254568 2779336 3077122 3945494 4509136 5558672 6154244 7890988 8736451 9018272 10769927 11117344 12308488 14554691 15781976 17472902 21539854 24616976 29109382 31563952 34945804 43079708 49233952 58218764 61155157 63127904 69891608 86159416 101882837 116437528 122310314 139783216 172318832 203765674 232875056 244620628 279566432 344637664 407531348 451195421 465750112 489241256 815062696 902390842 978482512 1630125392 1804781684 1956965024 3158367947 3260250784 3609563368 6316735894 7219126736 12633471788 13987058051 14438253472 25266943576 27974116102 50533887152 55948232204 97909406357 101067774304 111896464408 195818812714 223792928816 391637625428 447585857632 783275250856 1566550501712 3133101003424