Search a number
-
+
9210111012 = 223217124912049
BaseRepresentation
bin10001001001111011…
…10010010000100100
3212202212110010010200
420210331302100210
5122330242023022
64121524350500
7444143436414
oct104475622044
925685403120
109210111012
1139a695a7a3
121950545430
13b3a16783b
146352aa644
1538d881bac
hex224f72424

9210111012 has 72 divisors (see below), whose sum is σ = 24672375000. Its totient is φ = 2886893568.

The previous prime is 9210111011. The next prime is 9210111013. The reversal of 9210111012 is 2101110129.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9210111011) and next prime (9210111013).

It can be written as a sum of positive squares in 4 ways, for example, as 2865032676 + 6345078336 = 53526^2 + 79656^2 .

It is a super-2 number, since 2×92101110122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9210111011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758364 + ... + 770412.

It is an arithmetic number, because the mean of its divisors is an integer number (342671875).

Almost surely, 29210111012 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 9210111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336187500).

9210111012 is an abundant number, since it is smaller than the sum of its proper divisors (15462263988).

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

9210111012 is a wasteful number, since it uses less digits than its factorization.

9210111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13325 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 9210111012 is about 95969.3232861418. The cubic root of 9210111012 is about 2096.1464486105.

The spelling of 9210111012 in words is "nine billion, two hundred ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1249 2498 3747 4996 7494 11241 12049 14988 21233 22482 24098 36147 42466 44964 48196 63699 72294 84932 108441 127398 144588 191097 204833 216882 254796 382194 409666 433764 614499 764388 819332 1228998 1843497 2457996 3686994 7373988 15049201 30098402 45147603 60196804 90295206 135442809 180590412 255836417 270885618 511672834 541771236 767509251 1023345668 1535018502 2302527753 3070037004 4605055506 9210111012