Search a number
-
+
211045815120 = 243571931213281
BaseRepresentation
bin1100010010001101001…
…1111001001101010000
3202011202010221020021010
43010203103321031100
511424210212040440
6240541512130520
721150624554430
oct3044323711520
9664663836233
10211045815120
118155a951628
1234a9a996a40
1316b9489815a
14a3010ba2c0
155753063580
hex31234f9350

211045815120 has 320 divisors, whose sum is σ = 812450856960. Its totient is φ = 44225740800.

The previous prime is 211045815119. The next prime is 211045815137. The reversal of 211045815120 is 21518540112.

It is a super-2 number, since 2×2110458151202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 882880 + ... + 1096160.

It is an arithmetic number, because the mean of its divisors is an integer number (2538908928).

Almost surely, 2211045815120 is an apocalyptic number.

211045815120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211045815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406225428480).

211045815120 is an abundant number, since it is smaller than the sum of its proper divisors (601405041840).

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

211045815120 is a wasteful number, since it uses less digits than its factorization.

211045815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213354 (or 213348 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The spelling of 211045815120 in words is "two hundred eleven billion, forty-five million, eight hundred fifteen thousand, one hundred twenty".