Search a number
-
+
31110211000 = 2353117093989
BaseRepresentation
bin11100111110010100…
…000010010110111000
32222022010100110120001
4130332110002112320
51002203203223000
622143011442344
72150640300421
oct347624022670
988263313501
1031110211000
11122149a2a90
1260428b63b4
132c1a3ac69b
141711a84648
15c2132a46a
hex73e5025b8

31110211000 has 128 divisors (see below), whose sum is σ = 79547832000. Its totient is φ = 11294016000.

The previous prime is 31110210959. The next prime is 31110211009. The reversal of 31110211000 is 11201113.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31110211009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7797006 + ... + 7800994.

Almost surely, 231110211000 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 31110211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39773916000).

31110211000 is an abundant number, since it is smaller than the sum of its proper divisors (48437621000).

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

31110211000 is a wasteful number, since it uses less digits than its factorization.

31110211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 31110211000 its reverse (11201113), we get a palindrome (31121412113).

The spelling of 31110211000 in words is "thirty-one billion, one hundred ten million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 709 1000 1100 1375 1418 2200 2750 2836 3545 3989 5500 5672 7090 7799 7978 11000 14180 15598 15956 17725 19945 28360 31196 31912 35450 38995 39890 43879 62392 70900 77990 79780 87758 88625 99725 141800 155980 159560 175516 177250 194975 199450 219395 311960 351032 354500 389950 398900 438790 498625 709000 779900 797800 877580 974875 997250 1096975 1559800 1755160 1949750 1994500 2193950 2828201 3899500 3989000 4387900 5484875 5656402 7799000 8775800 10969750 11312804 14141005 21939500 22625608 28282010 31110211 43879000 56564020 62220422 70705025 113128040 124440844 141410050 155551055 248881688 282820100 311102110 353525125 565640200 622204220 707050250 777755275 1244408440 1414100500 1555510550 2828201000 3111021100 3888776375 6222042200 7777552750 15555105500 31110211000