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214030411110 = 232531534714347
BaseRepresentation
bin1100011101010100110…
…1001110010101100110
3202110110010222102021100
43013111031032111212
512001313241123420
6242154010300530
721314605322445
oct3072515162546
9673403872240
10214030411110
118285165078a
1235592427746
131724c018199
14a505632d5c
15587a0b3190
hex31d534e566

214030411110 has 96 divisors (see below), whose sum is σ = 574577482752. Its totient is φ = 55219475520.

The previous prime is 214030411097. The next prime is 214030411117. The reversal of 214030411110 is 11114030412.

214030411110 is a `hidden beast` number, since 2 + 140 + 3 + 0 + 411 + 110 = 666.

It is a super-2 number, since 2×2140304111102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214030411117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14910957 + ... + 14925303.

It is an arithmetic number, because the mean of its divisors is an integer number (5985182112).

Almost surely, 2214030411110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214030411110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287288741376).

214030411110 is an abundant number, since it is smaller than the sum of its proper divisors (360547071642).

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

214030411110 is a wasteful number, since it uses less digits than its factorization.

214030411110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19738 (or 19735 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 214030411110 its reverse (11114030412), we get a palindrome (225144441522).

The spelling of 214030411110 in words is "two hundred fourteen billion, thirty million, four hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 5347 10694 14347 16041 26735 28694 32082 43041 48123 53470 71735 80205 86082 96246 129123 143470 160410 165757 215205 240615 258246 331514 430410 444757 481230 497271 645615 828785 889514 994542 1291230 1334271 1491813 1657570 2223785 2486355 2668542 2983626 4002813 4447570 4972710 6671355 7459065 8005626 13342710 14918130 20014065 40028130 76713409 153426818 230140227 383567045 460280454 690420681 767134090 1150701135 1380841362 2301402270 2378115679 3452103405 4756231358 6904206810 7134347037 11890578395 14268694074 21403041111 23781156790 35671735185 42806082222 71343470370 107015205555 214030411110