Search a number
-
+
211010232132 = 2232721720113499
BaseRepresentation
bin1100010010000100110…
…0001001111101000100
3202011122122222102120200
43010201030021331010
511424122104412012
6240534201330500
721150013244100
oct3044114117504
9664578872520
10211010232132
11815418585a7
1234a8aa96a30
1316b8a3b9c2b
14a2da496900
15574ed853dc
hex3121309f44

211010232132 has 216 divisors, whose sum is σ = 657483372000. Its totient is φ = 56697822720.

The previous prime is 211010232127. The next prime is 211010232247. The reversal of 211010232132 is 231232010112.

211010232132 is a `hidden beast` number, since 211 + 0 + 102 + 321 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60304119 + ... + 60307617.

It is an arithmetic number, because the mean of its divisors is an integer number (3043904500).

Almost surely, 2211010232132 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 211010232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328741686000).

211010232132 is an abundant number, since it is smaller than the sum of its proper divisors (446473139868).

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

211010232132 is a wasteful number, since it uses less digits than its factorization.

211010232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211010232132 its reverse (231232010112), we get a palindrome (442242242244).

The spelling of 211010232132 in words is "two hundred eleven billion, ten million, two hundred thirty-two thousand, one hundred thirty-two".