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203313121129980 = 2232548720261114473
BaseRepresentation
bin101110001110100110000110…
…010111001111010111111100
3222122212112200222112211022200
4232032212012113033113330
5203122040233002124410
62000224431453311500
760552613450260441
oct5616460627172774
9878775628484280
10203313121129980
11598666795744a4
121a977540a95590
13895a464120704
14382c59c5199c8
151878992d6e3c0
hexb8e9865cf5fc

203313121129980 has 144 divisors (see below), whose sum is σ = 618018725548224. Its totient is φ = 54102361052160.

The previous prime is 203313121129949. The next prime is 203313121130003. The reversal of 203313121129980 is 89921121313302.

203313121129980 is a `hidden beast` number, since 2 + 0 + 3 + 31 + 312 + 11 + 299 + 8 + 0 = 666.

It is a super-2 number, since 2×2033131211299802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1776022024 + ... + 1776136496.

It is an arithmetic number, because the mean of its divisors is an integer number (4291796705196).

Almost surely, 2203313121129980 is an apocalyptic number.

203313121129980 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 203313121129980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309009362774112).

203313121129980 is an abundant number, since it is smaller than the sum of its proper divisors (414705604418244).

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

203313121129980 is a wasteful number, since it uses less digits than its factorization.

203313121129980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135236 (or 135231 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 203313121129980 in words is "two hundred three trillion, three hundred thirteen billion, one hundred twenty-one million, one hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 487 974 1461 1948 2435 2922 4383 4870 5844 7305 8766 9740 14610 17532 20261 21915 29220 40522 43830 60783 81044 87660 101305 114473 121566 182349 202610 228946 243132 303915 343419 364698 405220 457892 572365 607830 686838 729396 911745 1030257 1144730 1215660 1373676 1717095 1823490 2060514 2289460 3434190 3646980 4121028 5151285 6868380 9867107 10302570 19734214 20605140 29601321 39468428 49335535 55748351 59202642 88803963 98671070 111496702 118405284 148006605 167245053 177607926 197342140 222993404 278741755 296013210 334490106 355215852 444019815 501735159 557483510 592026420 668980212 836225265 888039630 1003470318 1114967020 1672450530 1776079260 2006940636 2319337453 2508675795 3344901060 4638674906 5017351590 6958012359 9277349812 10034703180 11596687265 13916024718 20874037077 23193374530 27832049436 34790061795 41748074154 46386749060 69580123590 83496148308 104370185385 139160247180 208740370770 417480741540 1129517339611 2259034679222 3388552018833 4518069358444 5647586698055 6777104037666 10165656056499 11295173396110 13554208075332 16942760094165 20331312112998 22590346792220 33885520188330 40662624225996 50828280282495 67771040376660 101656560564990 203313121129980