Search a number
-
+
11000232150 = 2352295347713
BaseRepresentation
bin10100011111010101…
…00011100011010110
31001101121212200200120
422033222203203112
5140012024412100
65015313052410
7536411300445
oct121752434326
931347780616
1011000232150
114735387256
12216bb57106
131063ca920b
14764d30d5c
15445ad80a0
hex28faa38d6

11000232150 has 96 divisors (see below), whose sum is σ = 28754364960. Its totient is φ = 2778746880.

The previous prime is 11000232071. The next prime is 11000232151. The reversal of 11000232150 is 5123200011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000232151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206694 + ... + 254406.

It is an arithmetic number, because the mean of its divisors is an integer number (299524635).

Almost surely, 211000232150 is an apocalyptic number.

11000232150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000232150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377182480).

11000232150 is an abundant number, since it is smaller than the sum of its proper divisors (17754132810).

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

11000232150 is a wasteful number, since it uses less digits than its factorization.

11000232150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47810 (or 47805 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11000232150 its reverse (5123200011), we get a palindrome (16123432161).

The spelling of 11000232150 in words is "eleven billion, two hundred thirty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 53 58 75 87 106 145 150 159 174 265 290 318 435 530 725 795 870 1325 1450 1537 1590 2175 2650 3074 3975 4350 4611 7685 7950 9222 15370 23055 38425 46110 47713 76850 95426 115275 143139 230550 238565 286278 477130 715695 1192825 1383677 1431390 2385650 2528789 2767354 3578475 4151031 5057578 6918385 7156950 7586367 8302062 12643945 13836770 15172734 20755155 25287890 34591925 37931835 41510310 63219725 69183850 73334881 75863670 103775775 126439450 146669762 189659175 207551550 220004643 366674405 379318350 440009286 733348810 1100023215 1833372025 2200046430 3666744050 5500116075 11000232150