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204220303101240 = 233511319037791117
BaseRepresentation
bin101110011011110010111110…
…100111110100110100111000
3222210002021022001110211222120
4232123302332213310310320
5203231421140043214430
62002201302335321240
761005300326635626
oct5633627647646470
9883067261424876
10204220303101240
115a0863870a7628
121aaa331a380220
1389c4b797c694a
14386045b6aa516
15189238ab5c610
hexb9bcbe9f4d38

204220303101240 has 128 divisors (see below), whose sum is σ = 618115936023360. Its totient is φ = 53973908086784.

The previous prime is 204220303101163. The next prime is 204220303101259. The reversal of 204220303101240 is 42101303022402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204220303101240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257746162 + ... + 258537278.

Almost surely, 2204220303101240 is an apocalyptic number.

204220303101240 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 204220303101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309057968011680).

204220303101240 is an abundant number, since it is smaller than the sum of its proper divisors (413895632922120).

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

204220303101240 is a wasteful number, since it uses less digits than its factorization.

204220303101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810281 (or 810277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204220303101240 its reverse (42101303022402), we get a palindrome (246321606123642).

The spelling of 204220303101240 in words is "two hundred four trillion, two hundred twenty billion, three hundred three million, one hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 19037 38074 57111 76148 95185 114222 152296 190370 228444 285555 380740 456888 571110 761480 791117 1142220 1582234 2151181 2284440 2373351 3164468 3955585 4302362 4746702 6328936 6453543 7911170 8604724 9493404 10755905 11866755 12907086 15822340 17209448 18986808 21511810 23733510 25814172 31644680 32267715 43023620 47467020 51628344 64535430 86047240 89396221 94934040 129070860 178792442 258141720 268188663 357584884 446981105 536377326 715169768 893962210 1072754652 1340943315 1787924420 2145509304 2681886630 3575848840 5363773260 10727546520 15060494329 30120988658 45181482987 60241977316 75302471645 90362965974 120483954632 150604943290 180725931948 225907414935 301209886580 361451863896 451814829870 602419773160 903629659740 1701835859177 1807259319480 3403671718354 5105507577531 6807343436708 8509179295885 10211015155062 13614686873416 17018358591770 20422030310124 25527537887655 34036717183540 40844060620248 51055075775310 68073434367080 102110151550620 204220303101240