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201220001013000 = 23353638411050631
BaseRepresentation
bin101101110000001000101110…
…101011101001110100001000
3222101110102222211202220101010
4231300020232223221310020
5202333242030224404000
61551543105313123520
760245444130654024
oct5560105653516410
9871412884686333
10201220001013000
1159129a17860552
121a69994b2595a0
138837c70517608
143799158619384
15183e2d9b45d50
hexb7022eae9d08

201220001013000 has 128 divisors (see below), whose sum is σ = 627816834627840. Its totient is φ = 53657775360000.

The previous prime is 201220001012977. The next prime is 201220001013013. The reversal of 201220001013000 is 310100022102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 190997685 + ... + 192048315.

It is an arithmetic number, because the mean of its divisors is an integer number (4904819020530).

Almost surely, 2201220001013000 is an apocalyptic number.

201220001013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220001013000 is an abundant number, since it is smaller than the sum of its proper divisors (426596833614840).

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

201220001013000 is a wasteful number, since it uses less digits than its factorization.

201220001013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114496 (or 1114482 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201220001013000 its reverse (310100022102), we get a palindrome (201530101035102).

The spelling of 201220001013000 in words is "two hundred one trillion, two hundred twenty billion, one million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 63841 127682 191523 255364 319205 383046 510728 638410 766092 957615 1050631 1276820 1532184 1596025 1915230 2101262 2553640 3151893 3192050 3830460 4202524 4788075 5253155 6303786 6384100 7660920 7980125 8405048 9576150 10506310 12607572 12768200 15759465 15960250 19152300 21012620 23940375 25215144 26265775 31518930 31920500 38304600 42025240 47880750 52531550 63037860 63841000 78797325 95761500 105063100 126075720 131328875 157594650 191523000 210126200 262657750 315189300 393986625 525315500 630378600 787973250 1050631000 1575946500 3151893000 67073333671 134146667342 201220001013 268293334684 335366668355 402440002026 536586669368 670733336710 804880004052 1006100005065 1341466673420 1609760008104 1676833341775 2012200010130 2682933346840 3353666683550 4024400020260 5030500025325 6707333367100 8048800040520 8384166708875 10061000050650 13414666734200 16768333417750 20122000101300 25152500126625 33536666835500 40244000202600 50305000253250 67073333671000 100610000506500 201220001013000