Search a number
-
+
1024223102300 = 225247257847937
BaseRepresentation
bin11101110011110000111…
…01000100010101011100
310121220200212110112000002
432321320131010111130
5113240102103233200
62102304355353432
7133666126503356
oct16717035042534
93556625415002
101024223102300
11365409270202
121466022b2878
137577887a678
143780355a0d6
151b998126bd5
hexee7874455c

1024223102300 has 72 divisors (see below), whose sum is σ = 2278687529664. Its totient is φ = 399411773440.

The previous prime is 1024223102293. The next prime is 1024223102317. The reversal of 1024223102300 is 32013224201.

It is a super-3 number, since 3×10242231023003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783932 + ... + 1631868.

It is an arithmetic number, because the mean of its divisors is an integer number (31648437912).

Almost surely, 21024223102300 is an apocalyptic number.

1024223102300 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 1024223102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139343764832).

1024223102300 is an abundant number, since it is smaller than the sum of its proper divisors (1254464427364).

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

1024223102300 is a wasteful number, since it uses less digits than its factorization.

1024223102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848255 (or 848248 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1024223102300 its reverse (32013224201), we get a palindrome (1056236326501).

The spelling of 1024223102300 in words is "one trillion, twenty-four billion, two hundred twenty-three million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 257 470 514 940 1028 1175 1285 2350 2570 4700 5140 6425 12079 12850 24158 25700 48316 60395 120790 241580 301975 603950 847937 1207900 1695874 3391748 4239685 8479370 16958740 21198425 39853039 42396850 79706078 84793700 159412156 199265195 217919809 398530390 435839618 797060780 871679236 996325975 1089599045 1992651950 2179198090 3985303900 4358396180 5447995225 10242231023 10895990450 20484462046 21791980900 40968924092 51211155115 102422310230 204844620460 256055775575 512111551150 1024223102300