Search a number
-
+
2553411102 = 23111923223397
BaseRepresentation
bin1001100000110001…
…1111011000011110
320120221200201112120
42120030133120132
520212133123402
61101212243410
7120163431144
oct23014373036
96527621476
102553411102
1110a0374610
125b3170566
13319010358
141a3195594
15ee27b3bc
hex9831f61e

2553411102 has 128 divisors (see below), whose sum is σ = 6162186240. Its totient is φ = 696263040.

The previous prime is 2553411043. The next prime is 2553411103. The reversal of 2553411102 is 2011143552.

It is a happy number.

2553411102 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553411103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6431568 + ... + 6431964.

It is an arithmetic number, because the mean of its divisors is an integer number (48142080).

Almost surely, 22553411102 is an apocalyptic number.

2553411102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553411102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081093120).

2553411102 is an abundant number, since it is smaller than the sum of its proper divisors (3608775138).

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

2553411102 is a wasteful number, since it uses less digits than its factorization.

2553411102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2553411102 is about 50531.2883469242. The cubic root of 2553411102 is about 1366.8061180592.

Adding to 2553411102 its reverse (2011143552), we get a palindrome (4564554654).

The spelling of 2553411102 in words is "two billion, five hundred fifty-three million, four hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 223 253 397 418 437 446 506 627 669 759 794 874 1191 1254 1311 1338 1518 2382 2453 2622 4237 4367 4807 4906 5129 7359 7543 8474 8734 9131 9614 10258 12711 13101 14421 14718 15086 15387 18262 22629 25422 26202 27393 28842 30774 45258 46607 54786 56419 82973 88531 93214 97451 100441 112838 139821 165946 169257 173489 177062 194902 200882 248919 265593 279642 292353 301323 338514 346978 497838 520467 531186 584706 602646 973841 1040934 1071961 1682089 1908379 1947682 2036213 2143922 2921523 3215883 3364178 3816758 4072426 5046267 5725137 5843046 6108639 6431766 10092534 11450274 12217278 18502979 22398343 37005958 38688047 44796686 55508937 67195029 77376094 111017874 116064141 134390058 232128282 425568517 851137034 1276705551 2553411102