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213021021001020 = 2235389265935603
BaseRepresentation
bin110000011011110111010010…
…010010010101010100111100
31000221020121111012212002012020
4300123313102102111110330
5210410114022334013040
62033020301151040140
762604155324542401
oct6033672222252474
91027217435762166
10213021021001020
11619697869aa261
121ba84a98b10050
1391b2a4700302b
143a863b57882a8
151996273e20cd0
hexc1bdd249553c

213021021001020 has 144 divisors (see below), whose sum is σ = 598920365070720. Its totient is φ = 56572008641792.

The previous prime is 213021021000989. The next prime is 213021021001031. The reversal of 213021021001020 is 20100120120312.

213021021001020 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5983214539 + ... + 5983250141.

It is an arithmetic number, because the mean of its divisors is an integer number (4159169201880).

Almost surely, 2213021021001020 is an apocalyptic number.

213021021001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213021021001020 is an abundant number, since it is smaller than the sum of its proper divisors (385899344069700).

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

213021021001020 is a wasteful number, since it uses less digits than its factorization.

213021021001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37052 (or 36661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213021021001020 its reverse (20100120120312), we get a palindrome (233121141121332).

The spelling of 213021021001020 in words is "two hundred thirteen trillion, twenty-one billion, twenty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 389 659 778 1167 1318 1556 1945 1977 2334 2636 3295 3890 3954 4668 5835 6590 7780 7908 9885 11670 13180 19770 23340 35603 39540 71206 106809 142412 151321 178015 213618 256351 302642 356030 427236 453963 512702 534045 605284 712060 756605 769053 907926 1025404 1068090 1281755 1513210 1538106 1815852 2136180 2269815 2563510 3026420 3076212 3845265 4539630 5127020 7690530 9079260 13849567 15381060 23462377 27699134 41548701 46924754 55398268 69247835 70387131 83097402 93849508 99720539 117311885 138495670 140774262 166194804 199441078 207743505 234623770 276991340 281548524 299161617 351935655 398882156 415487010 469247540 498602695 598323234 703871310 830974020 997205390 1196646468 1407742620 1495808085 1994410780 2991616170 5387481563 5983232340 9126864653 10774963126 16162444689 18253729306 21549926252 26937407815 27380593959 32324889378 36507458612 45634323265 53874815630 54761187918 64649778756 80812223445 91268646530 107749631260 109522375836 136902969795 161624446890 182537293060 273805939590 323248893780 547611879180 3550350350017 7100700700034 10651051050051 14201401400068 17751751750085 21302102100102 35503503500170 42604204200204 53255255250255 71007007000340 106510510500510 213021021001020