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3123032001020 = 2254159601110739
BaseRepresentation
bin101101011100100011001…
…101101000100111111100
3102001120002110200111102122
4231130203031220213330
5402131432143013040
610350411234142112
7441426434003441
oct55344315504774
912046073614378
103123032001020
11aa451a169068
12425321121938
13198667c244c9
14ab226bb59c8
15563859b01b5
hex2d7233689fc

3123032001020 has 96 divisors (see below), whose sum is σ = 6833970259200. Its totient is φ = 1197776652800.

The previous prime is 3123032000993. The next prime is 3123032001071. The reversal of 3123032001020 is 201002303213.

It is a self number, because there is not a number n which added to its sum of digits gives 3123032001020.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 290806811 + ... + 290817549.

It is an arithmetic number, because the mean of its divisors is an integer number (71187190200).

Almost surely, 23123032001020 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 3123032001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416985129600).

3123032001020 is an abundant number, since it is smaller than the sum of its proper divisors (3710938258180).

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

3123032001020 is a wasteful number, since it uses less digits than its factorization.

3123032001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16859 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 3123032001020 its reverse (201002303213), we get a palindrome (3324034304233).

The spelling of 3123032001020 in words is "three trillion, one hundred twenty-three billion, thirty-two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4838 6011 9676 10739 12022 12095 21478 24044 24190 30055 42956 48380 53695 60110 107390 120220 214780 246451 354649 440299 492902 633601 709298 880598 985804 1232255 1267202 1418596 1761196 1773245 2201495 2464510 2534404 3168005 3546490 4402990 4929020 6336010 7092980 8805980 12672020 14540609 25977641 29081218 51955282 58162436 64552129 72703045 103910564 129104258 129888205 145406090 258208516 259776410 290812180 322760645 519552820 645521290 1291042580 2646637289 3808575611 5293274578 7617151222 10586549156 13233186445 15234302444 19042878055 26466372890 38085756110 52932745780 76171512220 156151600051 312303200102 624606400204 780758000255 1561516000510 3123032001020