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202131213010320 = 243511194029729127
BaseRepresentation
bin101101111101011001010111…
…001001100100010110010000
3222111200112222202220110111110
4231331121113021210112100
5202443204211012312240
61553521444120413320
760401332614103266
oct5575312711442620
9874615882813443
10202131213010320
1159450403215930
121a806472317240
1388a2b78ac6059
1437cb2baad8436
151857d6b63ac80
hexb7d657264590

202131213010320 has 160 divisors (see below), whose sum is σ = 719548433095680. Its totient is φ = 46422479531520.

The previous prime is 202131213010277. The next prime is 202131213010343. The reversal of 202131213010320 is 23010312131202.

202131213010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2014814404 + ... + 2014914723.

It is an arithmetic number, because the mean of its divisors is an integer number (4497177706848).

Almost surely, 2202131213010320 is an apocalyptic number.

202131213010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131213010320 is an abundant number, since it is smaller than the sum of its proper divisors (517417220085360).

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

202131213010320 is a wasteful number, since it uses less digits than its factorization.

202131213010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029729173 (or 4029729167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 202131213010320 its reverse (23010312131202), we get a palindrome (225141525141522).

The spelling of 202131213010320 in words is "two hundred two trillion, one hundred thirty-one billion, two hundred thirteen million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 4029729127 8059458254 12089187381 16118916508 20148645635 24178374762 32237833016 40297291270 44327020397 48356749524 60445936905 64475666032 76564853413 80594582540 88654040794 96713499048 120891873810 132981061191 153129706826 161189165080 177308081588 193426998096 221635101985 229694560239 241783747620 265962122382 306259413652 322378330160 354616163176 382824267065 443270203970 459389120478 483567495240 531924244764 612518827304 664905305955 709232326352 765648534130 842213387543 886540407940 918778240956 967134990480 1063848489528 1148472801195 1225037654608 1329810611910 1531297068260 1684426775086 1773080815880 1837556481912 2127696979056 2296945602390 2526640162629 2659621223820 3062594136520 3368853550172 3546161631760 3675112963824 4211066937715 4593891204780 5053280325258 5319242447640 6125188273040 6737707100344 8422133875430 9187782409560 10106560650516 10638484895280 12633200813145 13475414200688 16844267750860 18375564819120 20213121301032 25266401626290 33688535501720 40426242602064 50532803252580 67377071003440 101065606505160 202131213010320