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3013301123004 = 2232937862727127
BaseRepresentation
bin101011110110010110101…
…111100011011110111100
3101200001212010200100000110
4223312112233203132330
5343332220041414004
610224142540430020
7430463260636254
oct53662657433674
911601763610013
103013301123004
11a61a2aa22317
12407bb8548310
1318b1cb4038a3
14a5bb7648964
15535b2327589
hex2bd96be37bc

3013301123004 has 96 divisors (see below), whose sum is σ = 7471207457280. Its totient is φ = 943443148032.

The previous prime is 3013301122939. The next prime is 3013301123017. The reversal of 3013301123004 is 4003211033103.

It is a congruent number.

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, 111067689 + ... + 111094815.

It is an arithmetic number, because the mean of its divisors is an integer number (77825077680).

Almost surely, 23013301123004 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 3013301123004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735603728640).

3013301123004 is an abundant number, since it is smaller than the sum of its proper divisors (4457906334276).

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

3013301123004 is a wasteful number, since it uses less digits than its factorization.

3013301123004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35827 (or 35825 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3013301123004 its reverse (4003211033103), we get a palindrome (7016512156107).

The spelling of 3013301123004 in words is "three trillion, thirteen billion, three hundred one million, one hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 3219 4292 6438 8627 12876 17254 25881 27127 34508 51762 54254 81381 103524 108508 162762 250183 319199 325524 500366 638398 750549 786683 957597 1000732 1003699 1276796 1501098 1573366 1915194 2007398 2360049 3002196 3011097 3146732 3830388 4014796 4720098 6022194 9256771 9440196 12044388 18513542 27770313 29107271 37027084 55540626 58214542 87321813 111081252 116429084 174643626 234024629 349287252 468049258 702073887 936098516 1404147774 2808295548 6786714241 8658911273 13573428482 17317822546 20360142723 25976733819 27146856964 34635645092 40720285446 51953467638 81440570892 103906935276 251108426917 502216853834 753325280751 1004433707668 1506650561502 3013301123004