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11210211232 = 2511297913901
BaseRepresentation
bin10100111000010111…
…00011111110100000
31001221020222201211121
422130023203332200
5140424303224412
65052213422024
7544541136403
oct123413437640
931836881747
1011210211232
114832965690
12220a33a914
1310986486ac
14784b8dd3a
15459264107
hex29c2e3fa0

11210211232 has 96 divisors (see below), whose sum is σ = 25223788800. Its totient is φ = 4857216000.

The previous prime is 11210211191. The next prime is 11210211269. The reversal of 11210211232 is 23211201211.

11210211232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799482 + ... + 813382.

It is an arithmetic number, because the mean of its divisors is an integer number (262747800).

Almost surely, 211210211232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611894400).

11210211232 is an abundant number, since it is smaller than the sum of its proper divisors (14013577568).

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

11210211232 is a wasteful number, since it uses less digits than its factorization.

11210211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14030 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11210211232 its reverse (23211201211), we get a palindrome (34421412443).

The spelling of 11210211232 in words is "eleven billion, two hundred ten million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 79 88 116 158 176 232 316 319 352 464 632 638 869 928 1264 1276 1738 2291 2528 2552 3476 4582 5104 6952 9164 10208 13901 13904 18328 25201 27802 27808 36656 50402 55604 73312 100804 111208 152911 201608 222416 305822 403129 403216 444832 611644 806258 806432 1098179 1223288 1612516 2196358 2446576 3225032 4392716 4434419 4893152 6450064 8785432 8868838 12079969 12900128 17570864 17737676 24159938 31847191 35141728 35475352 48319876 63694382 70950704 96639752 127388764 141901408 193279504 254777528 350319101 386559008 509555056 700638202 1019110112 1401276404 2802552808 5605105616 11210211232