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203121041220 = 2232516733720051
BaseRepresentation
bin1011110100101011110…
…1010001111101000100
3201102021212002000011200
42331022331101331010
511311442441304340
6233151300502500
720450346235356
oct2751275217504
9642255060150
10203121041220
1179163594709
12334489aaa30
1316200b03526
149b8c7d50d6
15543c477330
hex2f4af51f44

203121041220 has 144 divisors (see below), whose sum is σ = 621693491328. Its totient is φ = 53678822400.

The previous prime is 203121041213. The next prime is 203121041239. The reversal of 203121041220 is 22140121302.

It is a happy number.

203121041220 is a `hidden beast` number, since 20 + 3 + 1 + 210 + 412 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203121041193 and 203121041202.

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, 10120195 + ... + 10140245.

It is an arithmetic number, because the mean of its divisors is an integer number (4317315912).

Almost surely, 2203121041220 is an apocalyptic number.

203121041220 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 203121041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310846745664).

203121041220 is an abundant number, since it is smaller than the sum of its proper divisors (418572450108).

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

203121041220 is a wasteful number, since it uses less digits than its factorization.

203121041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20570 (or 20565 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 203121041220 its reverse (22140121302), we get a palindrome (225261162522).

The spelling of 203121041220 in words is "two hundred three billion, one hundred twenty-one million, forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 337 501 668 674 835 1002 1011 1348 1503 1670 1685 2004 2022 2505 3006 3033 3340 3370 4044 5010 5055 6012 6066 6740 7515 10020 10110 12132 15030 15165 20051 20220 30060 30330 40102 56279 60153 60660 80204 100255 112558 120306 168837 180459 200510 225116 240612 281395 300765 337674 360918 401020 506511 562790 601530 675348 721836 844185 902295 1013022 1125580 1203060 1688370 1804590 2026044 2532555 3348517 3376740 3609180 5065110 6697034 6757187 10045551 10130220 13394068 13514374 16742585 20091102 20271561 27028748 30136653 33485170 33785935 40182204 40543122 50227755 60273306 60814683 66970340 67571870 81086244 100455510 101357805 120546612 121629366 135143740 150683265 200911020 202715610 243258732 301366530 304073415 405431220 602733060 608146830 1128450229 1216293660 2256900458 3385350687 4513800916 5642251145 6770701374 10156052061 11284502290 13541402748 16926753435 20312104122 22569004580 33853506870 40624208244 50780260305 67707013740 101560520610 203121041220