Search a number
-
+
53211234120 = 233511353114197
BaseRepresentation
bin110001100011101000…
…101111111101001000
312002100101022202200220
4301203220233331020
51332434033442440
640240033230040
73562424012232
oct614350577510
9162311282626
1053211234120
1120626399850
12a390402320
135030142a65
14280b001252
1515b67618d0
hexc63a2ff48

53211234120 has 128 divisors (see below), whose sum is σ = 174640717440. Its totient is φ = 12863037440.

The previous prime is 53211234079. The next prime is 53211234157. The reversal of 53211234120 is 2143211235.

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

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 31 ways as a sum of consecutive naturals, for example, 408862 + ... + 523058.

It is an arithmetic number, because the mean of its divisors is an integer number (1364380605).

Almost surely, 253211234120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53211234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87320358720).

53211234120 is an abundant number, since it is smaller than the sum of its proper divisors (121429483320).

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

53211234120 is a wasteful number, since it uses less digits than its factorization.

53211234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114575 (or 114571 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 53211234120 its reverse (2143211235), we get a palindrome (55354445355).

The spelling of 53211234120 in words is "fifty-three billion, two hundred eleven million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 353 440 660 706 1059 1320 1412 1765 2118 2824 3530 3883 4236 5295 7060 7766 8472 10590 11649 14120 15532 19415 21180 23298 31064 38830 42360 46596 58245 77660 93192 114197 116490 155320 228394 232980 342591 456788 465960 570985 685182 913576 1141970 1256167 1370364 1712955 2283940 2512334 2740728 3425910 3768501 4567880 5024668 6280835 6851820 7537002 10049336 12561670 13703640 15074004 18842505 25123340 30148008 37685010 40311541 50246680 75370020 80623082 120934623 150740040 161246164 201557705 241869246 322492328 403115410 443426951 483738492 604673115 806230820 886853902 967476984 1209346230 1330280853 1612461640 1773707804 2217134755 2418692460 2660561706 3547415608 4434269510 4837384920 5321123412 6651404265 8868539020 10642246824 13302808530 17737078040 26605617060 53211234120