Base | Representation |
---|---|
bin | 1100010100001010101… |
… | …0000000110100010000 |
3 | 202020002210111022111210 |
4 | 3011002222000310100 |
5 | 11431244324112102 |
6 | 241110015540120 |
7 | 21166641560361 |
oct | 3050252006420 |
9 | 666083438453 |
10 | 211571707152 |
11 | 817aa793043 |
12 | 35006b2a640 |
13 | 16c49817480 |
14 | a350c91b68 |
15 | 57842e336c |
hex | 3142a80d10 |
211571707152 has 160 divisors (see below), whose sum is σ = 619929072000. Its totient is φ = 61638230016.
The previous prime is 211571707147. The next prime is 211571707157. The reversal of 211571707152 is 251707175112.
211571707152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (211571707147) and next prime (211571707157).
It is a super-2 number, since 2×2115717071522 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 211571707152.
It is not an unprimeable number, because it can be changed into a prime (211571707157) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27656224 + ... + 27663872.
It is an arithmetic number, because the mean of its divisors is an integer number (3874556700).
Almost surely, 2211571707152 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 211571707152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309964536000).
211571707152 is an abundant number, since it is smaller than the sum of its proper divisors (408357364848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211571707152 is a wasteful number, since it uses less digits than its factorization.
211571707152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10025 (or 10019 counting only the distinct ones).
The product of its (nonzero) digits is 34300, while the sum is 39.
The spelling of 211571707152 in words is "two hundred eleven billion, five hundred seventy-one million, seven hundred seven thousand, one hundred fifty-two".
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