Search a number
-
+
1053522054300 = 2235229457264977
BaseRepresentation
bin11110101010010101100…
…11101100110010011100
310201201022202121111022110
433111022303230302130
5114230103121214200
62123551545514020
7136054154464452
oct17251263546234
93651282544273
101053522054300
11376883809521
1215021a4a2910
1378467927361
1438dc28369d2
151c610422b50
hexf54acecc9c

1053522054300 has 144 divisors (see below), whose sum is σ = 3160212420960. Its totient is φ = 270657085440.

The previous prime is 1053522054281. The next prime is 1053522054349. The reversal of 1053522054300 is 34502253501.

It is a super-2 number, since 2×10535220543002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3843412 + ... + 4108388.

It is an arithmetic number, because the mean of its divisors is an integer number (21945919590).

Almost surely, 21053522054300 is an apocalyptic number.

1053522054300 is a gapful number since it is divisible by the number (10) 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 1053522054300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580106210480).

1053522054300 is an abundant number, since it is smaller than the sum of its proper divisors (2106690366660).

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

1053522054300 is a wasteful number, since it uses less digits than its factorization.

1053522054300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265480 (or 265473 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 1053522054300 in words is "one trillion, fifty-three billion, five hundred twenty-two million, fifty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 457 580 725 870 914 1371 1450 1740 1828 2175 2285 2742 2900 4350 4570 5484 6855 8700 9140 11425 13253 13710 22850 26506 27420 34275 39759 45700 53012 66265 68550 79518 132530 137100 159036 198795 264977 265060 331325 397590 529954 662650 794931 795180 993975 1059908 1324885 1325300 1589862 1987950 2649770 3179724 3974655 3975900 5299540 6624425 7684333 7949310 13248850 15368666 15898620 19873275 23052999 26497700 30737332 38421665 39746550 46105998 76843330 79493100 92211996 115264995 121094489 153686660 192108325 230529990 242188978 363283467 384216650 461059980 484377956 576324975 605472445 726566934 768433300 1152649950 1210944890 1453133868 1816417335 2305299900 2421889780 3027362225 3511740181 3632834670 6054724450 7023480362 7265669340 9082086675 10535220543 12109448900 14046960724 17558700905 18164173350 21070441086 35117401810 36328346700 42140882172 52676102715 70234803620 87793504525 105352205430 175587009050 210704410860 263380513575 351174018100 526761027150 1053522054300