Search a number
-
+
210211022112 = 253713372512591
BaseRepresentation
bin1100001111000110001…
…1011010010100100000
3202002120222010100112120
43003301203122110200
511421003010201422
6240323011424240
721121140130530
oct3036143322440
9662528110476
10210211022112
1181171707253
12348a72b5080
1316a909527b0
14a2622954c0
155704b1745c
hex30f18da520

210211022112 has 384 divisors, whose sum is σ = 700547678208. Its totient is φ = 53706240000.

The previous prime is 210211022107. The next prime is 210211022117. The reversal of 210211022112 is 211220112012.

It is an interprime number because it is at equal distance from previous prime (210211022107) and next prime (210211022117).

It is a junction number, because it is equal to n+sod(n) for n = 210211022091 and 210211022100.

It is not an unprimeable number, because it can be changed into a prime (210211022117) 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, 81129937 + ... + 81132527.

It is an arithmetic number, because the mean of its divisors is an integer number (1824342912).

Almost surely, 2210211022112 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 210211022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350273839104).

210211022112 is an abundant number, since it is smaller than the sum of its proper divisors (490336656096).

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

210211022112 is a wasteful number, since it uses less digits than its factorization.

210211022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210211022112 its reverse (211220112012), we get a palindrome (421431134124).

The spelling of 210211022112 in words is "two hundred ten billion, two hundred eleven million, twenty-two thousand, one hundred twelve".