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31314030210 = 23252293833967
BaseRepresentation
bin11101001010011101…
…100010111010000010
32222211022212112221200
4131022131202322002
51003112342431320
622215132202030
72155663602501
oct351235427202
988738775850
1031314030210
1112309a54411
12609b009316
132c506a3178
141730b7c838
15c3418b290
hex74a762e82

31314030210 has 96 divisors (see below), whose sum is σ = 82006179840. Its totient is φ = 8290145664.

The previous prime is 31314030197. The next prime is 31314030289. The reversal of 31314030210 is 1203041313.

31314030210 is a `hidden beast` number, since 313 + 1 + 40 + 302 + 10 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 7891647 + ... + 7895613.

It is an arithmetic number, because the mean of its divisors is an integer number (854231040).

Almost surely, 231314030210 is an apocalyptic number.

31314030210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31314030210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41003089920).

31314030210 is an abundant number, since it is smaller than the sum of its proper divisors (50692149630).

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

31314030210 is a wasteful number, since it uses less digits than its factorization.

31314030210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31314030210 its reverse (1203041313), we get a palindrome (32517071523).

The spelling of 31314030210 in words is "thirty-one billion, three hundred fourteen million, thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 383 458 687 766 1145 1149 1374 1915 2061 2290 2298 3435 3447 3830 3967 4122 5745 6870 6894 7934 10305 11490 11901 17235 19835 20610 23802 34470 35703 39670 59505 71406 87707 119010 175414 178515 263121 357030 438535 526242 789363 877070 908443 1315605 1519361 1578726 1816886 2631210 2725329 3038722 3946815 4542215 4558083 5450658 7596805 7893630 8175987 9084430 9116166 13626645 13674249 15193610 16351974 22790415 27253290 27348498 40879935 45580830 68371245 81759870 136742490 347933669 695867338 1043801007 1739668345 2087602014 3131403021 3479336690 5219005035 6262806042 10438010070 15657015105 31314030210