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213155050240 = 2851123658211
BaseRepresentation
bin1100011010000100000…
…1111111001100000000
3202101012010211110220101
43012201001333030000
511443020143101430
6241531100252144
721254116014106
oct3064101771400
9671163743811
10213155050240
1182442518150
1235389241054
131713c86a682
14a46128bc76
155828301dca
hex31a107f300

213155050240 has 144 divisors (see below), whose sum is σ = 581206461696. Its totient is φ = 74140774400.

The previous prime is 213155050237. The next prime is 213155050301. The reversal of 213155050240 is 42050551312.

It is a junction number, because it is equal to n+sod(n) for n = 213155050199 and 213155050208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5266 + ... + 652945.

It is an arithmetic number, because the mean of its divisors is an integer number (4036155984).

Almost surely, 2213155050240 is an apocalyptic number.

213155050240 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 213155050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290603230848).

213155050240 is an abundant number, since it is smaller than the sum of its proper divisors (368051411456).

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

213155050240 is a wasteful number, since it uses less digits than its factorization.

213155050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658266 (or 658252 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 213155050240 in words is "two hundred thirteen billion, one hundred fifty-five million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 256 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1280 1408 1472 1760 1840 2024 2530 2816 2944 3520 3680 4048 5060 5888 7040 7360 8096 10120 14080 14720 16192 20240 29440 32384 40480 64768 80960 161920 323840 658211 1316422 2632844 3291055 5265688 6582110 7240321 10531376 13164220 14480642 15138853 21062752 26328440 28961284 30277706 36201605 42125504 52656880 57922568 60555412 72403210 75694265 84251008 105313760 115845136 121110824 144806420 151388530 166527383 168502016 210627520 231690272 242221648 289612840 302777060 333054766 421255040 463380544 484443296 579225680 605554120 666109532 832636915 842510080 926761088 968886592 1158451360 1211108240 1332219064 1665273830 1853522176 1937773184 2316902720 2422216480 2664438128 3330547660 3875546368 4633805440 4844432960 5328876256 6661095320 9267610880 9688865920 10657752512 13322190640 19377731840 21315505024 26644381280 42631010048 53288762560 106577525120 213155050240