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2053120300 = 22527112311593
BaseRepresentation
bin111101001100000…
…0010000100101100
312022002022022120121
41322120002010230
513201044322200
6535421254324
7101610143320
oct17230020454
95262268517
102053120300
11963a29740
124937043a4
13269485aaa
14156965980
15c03a6e1a
hex7a60212c

2053120300 has 144 divisors (see below), whose sum is σ = 5796628992. Its totient is φ = 612057600.

The previous prime is 2053120253. The next prime is 2053120313. The reversal of 2053120300 is 30213502.

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, 171304 + ... + 182896.

It is an arithmetic number, because the mean of its divisors is an integer number (40254368).

Almost surely, 22053120300 is an apocalyptic number.

2053120300 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 2053120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898314496).

2053120300 is an abundant number, since it is smaller than the sum of its proper divisors (3743508692).

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

2053120300 is a wasteful number, since it uses less digits than its factorization.

2053120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11648 (or 11641 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2053120300 is about 45311.3705376476. The cubic root of 2053120300 is about 1270.9782901806.

Adding to 2053120300 its reverse (30213502), we get a palindrome (2083333802).

The spelling of 2053120300 in words is "two billion, fifty-three million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 25 28 35 44 46 50 55 70 77 92 100 110 115 140 154 161 175 220 230 253 275 308 322 350 385 460 506 550 575 644 700 770 805 1012 1100 1150 1265 1540 1610 1771 1925 2300 2530 3220 3542 3850 4025 5060 6325 7084 7700 8050 8855 11593 12650 16100 17710 23186 25300 35420 44275 46372 57965 81151 88550 115930 127523 162302 177100 231860 255046 266639 289825 324604 405755 510092 533278 579650 637615 811510 892661 1066556 1159300 1275230 1333195 1623020 1785322 1866473 2028775 2550460 2666390 2933029 3188075 3570644 3732946 4057550 4463305 5332780 5866058 6376150 6665975 7465892 8115100 8926610 9332365 11732116 12752300 13331950 14665145 17853220 18664730 20531203 22316525 26663900 29330290 37329460 41062406 44633050 46661825 58660580 73325725 82124812 89266100 93323650 102656015 146651450 186647300 205312030 293302900 410624060 513280075 1026560150 2053120300