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202131304380 = 223256771236063
BaseRepresentation
bin1011110000111111110…
…1101110111110111100
3201022201212201011110200
42330033331232332330
511302431103220010
6232505143203500
720414000511255
oct2741775567674
9638655634420
10202131304380
11787a5940785
1233211446590
13160a3a4a925
149ad7199b2c
1553d0621cc0
hex2f0ff6efbc

202131304380 has 144 divisors (see below), whose sum is σ = 631050061824. Its totient is φ = 52349109120.

The previous prime is 202131304373. The next prime is 202131304381. The reversal of 202131304380 is 83403131202.

202131304380 is a `hidden beast` number, since 2 + 0 + 213 + 13 + 0 + 438 + 0 = 666.

202131304380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131304381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738229 + ... + 974291.

It is an arithmetic number, because the mean of its divisors is an integer number (4382292096).

Almost surely, 2202131304380 is an apocalyptic number.

202131304380 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 202131304380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315525030912).

202131304380 is an abundant number, since it is smaller than the sum of its proper divisors (428918757444).

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

202131304380 is a wasteful number, since it uses less digits than its factorization.

202131304380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236216 (or 236211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 202131304380 its reverse (83403131202), we get a palindrome (285534435582).

The spelling of 202131304380 in words is "two hundred two billion, one hundred thirty-one million, three hundred four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 71 90 134 142 180 201 213 268 284 335 355 402 426 603 639 670 710 804 852 1005 1065 1206 1278 1340 1420 2010 2130 2412 2556 3015 3195 4020 4260 4757 6030 6390 9514 12060 12780 14271 19028 23785 28542 42813 47570 57084 71355 85626 95140 142710 171252 214065 236063 285420 428130 472126 708189 856260 944252 1180315 1416378 2124567 2360630 2832756 3540945 4249134 4721260 7081890 8498268 10622835 14163780 15816221 16760473 21245670 31632442 33520946 42491340 47448663 50281419 63264884 67041892 79081105 83802365 94897326 100562838 142345989 150844257 158162210 167604730 189794652 201125676 237243315 251407095 284691978 301688514 316324420 335209460 474486630 502814190 569383956 603377028 711729945 754221285 948973260 1005628380 1122951691 1423459890 1508442570 2245903382 2846919780 3016885140 3368855073 4491806764 5614758455 6737710146 10106565219 11229516910 13475420292 16844275365 20213130438 22459033820 33688550730 40426260876 50532826095 67377101460 101065652190 202131304380