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20031531540 = 22354126930271
BaseRepresentation
bin10010101001111110…
…001110101000010100
31220201000212020101120
4102221332032220110
5312011033002130
613111413123540
71306254131406
oct225176165024
956630766346
1020031531540
11854a306149
123a706295b0
131b73097a57
14d80572b76
157c38e8910
hex4a9f8ea14

20031531540 has 96 divisors (see below), whose sum is σ = 57671792640. Its totient is φ = 5191910400.

The previous prime is 20031531529. The next prime is 20031531587. The reversal of 20031531540 is 4513513002.

It is a self number, because there is not a number n which added to its sum of digits gives 20031531540.

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 31 ways as a sum of consecutive naturals, for example, 646605 + ... + 676875.

It is an arithmetic number, because the mean of its divisors is an integer number (600747840).

Almost surely, 220031531540 is an apocalyptic number.

20031531540 is a gapful number since it is divisible by the number (20) 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 20031531540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28835896320).

20031531540 is an abundant number, since it is smaller than the sum of its proper divisors (37640261100).

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

20031531540 is a wasteful number, since it uses less digits than its factorization.

20031531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30593 (or 30591 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 20031531540 in words is "twenty billion, thirty-one million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 269 410 492 538 615 807 820 1076 1230 1345 1614 2460 2690 3228 4035 5380 8070 11029 16140 22058 30271 33087 44116 55145 60542 66174 90813 110290 121084 132348 151355 165435 181626 220580 302710 330870 363252 454065 605420 661740 908130 1241111 1816260 2482222 3723333 4964444 6205555 7446666 8142899 12411110 14893332 16285798 18616665 24428697 24822220 32571596 37233330 40714495 48857394 74466660 81428990 97714788 122143485 162857980 244286970 333858859 488573940 667717718 1001576577 1335435436 1669294295 2003153154 3338588590 4006306308 5007882885 6677177180 10015765770 20031531540