Search a number
-
+
211503504420 = 2232513233929831
BaseRepresentation
bin1100010011111010010…
…1110101110000100100
3202012221001011020221200
43010332211311300210
511431124344120140
6241055142042500
721165153060525
oct3047645656044
9665831136850
10211503504420
118177523a34a
1234ba8119430
1316c38657a20
14a345bba84c
15577d320030
hex313e975c24

211503504420 has 144 divisors (see below), whose sum is σ = 720951259392. Its totient is φ = 49798805760.

The previous prime is 211503504409. The next prime is 211503504431. The reversal of 211503504420 is 24405305112.

211503504420 is a `hidden beast` number, since 2 + 1 + 150 + 3 + 504 + 4 + 2 + 0 = 666.

211503504420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211503504409) and next prime (211503504431).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911096 + ... + 2018735.

It is an arithmetic number, because the mean of its divisors is an integer number (5006605968).

Almost surely, 2211503504420 is an apocalyptic number.

211503504420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211503504420 is an abundant number, since it is smaller than the sum of its proper divisors (509447754972).

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

211503504420 is a wasteful number, since it uses less digits than its factorization.

211503504420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929882 (or 3929877 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 211503504420 its reverse (24405305112), we get a palindrome (235908809532).

The spelling of 211503504420 in words is "two hundred eleven billion, five hundred three million, five hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 26910 53820 3929831 7859662 11789493 15719324 19649155 23578986 35368479 39298310 47157972 51087803 58947465 70736958 78596620 90386113 102175606 117894930 141473916 153263409 176842395 180772226 204351212 235789860 255439015 271158339 306526818 353684790 361544452 451930565 459790227 510878030 542316678 613053636 707369580 766317045 813475017 903861130 919580454 1021756060 1084633356 1175019469 1355791695 1532634090 1626950034 1807722260 1839160908 2298951135 2350038938 2711583390 3065268180 3253900068 3525058407 4067375085 4597902270 4700077876 5423166780 5875097345 7050116814 8134750170 9195804540 10575175221 11750194690 14100233628 16269500340 17625292035 21150350442 23500389380 35250584070 42300700884 52875876105 70501168140 105751752210 211503504420