Search a number
-
+
213002333120 = 2654791389629
BaseRepresentation
bin1100011001011111101…
…1011010101111000000
3202100210111110122101202
43012113323122233000
511442212044124440
6241504003120332
721250252646513
oct3062773325700
9670714418352
10213002333120
118237429a555
12353460730a8
1317117029b05
14a448c96d7a
155819bd7615
hex3197edabc0

213002333120 has 56 divisors (see below), whose sum is σ = 508271068800. Its totient is φ = 85022999552.

The previous prime is 213002333111. The next prime is 213002333129. The reversal of 213002333120 is 21333200312.

It is an interprime number because it is at equal distance from previous prime (213002333111) and next prime (213002333129).

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

It is a junction number, because it is equal to n+sod(n) for n = 213002333092 and 213002333101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002333129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541535 + ... + 848094.

Almost surely, 2213002333120 is an apocalyptic number.

213002333120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213002333120 is an abundant number, since it is smaller than the sum of its proper divisors (295268735680).

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

213002333120 is a wasteful number, since it uses less digits than its factorization.

213002333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390125 (or 1390115 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213002333120 its reverse (21333200312), we get a palindrome (234335533432).

The spelling of 213002333120 in words is "two hundred thirteen billion, two million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 479 958 1916 2395 3832 4790 7664 9580 15328 19160 30656 38320 76640 153280 1389629 2779258 5558516 6948145 11117032 13896290 22234064 27792580 44468128 55585160 88936256 111170320 222340640 444681280 665632291 1331264582 2662529164 3328161455 5325058328 6656322910 10650116656 13312645820 21300233312 26625291640 42600466624 53250583280 106501166560 213002333120