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214230023020104 = 233713397247079773
BaseRepresentation
bin110000101101011101010000…
…011011000001111001001000
31001002112012010122110010211220
4300231131100123001321020
5211034421041343120404
62035343525224122040
763060415452256140
oct6055352033017110
91032465118403756
10214230023020104
1162295496036543
122003b269306320
13926ca5c5c7040
143ac8b07691920
1519b79340864d9
hexc2d7506c1e48

214230023020104 has 128 divisors (see below), whose sum is σ = 660829680349440. Its totient is φ = 56357907674112.

The previous prime is 214230023020019. The next prime is 214230023020129. The reversal of 214230023020104 is 401020320032412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122672839 + ... + 124406934.

It is an arithmetic number, because the mean of its divisors is an integer number (5162731877730).

Almost surely, 2214230023020104 is an apocalyptic number.

214230023020104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214230023020104 is an abundant number, since it is smaller than the sum of its proper divisors (446599657329336).

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

214230023020104 is a wasteful number, since it uses less digits than its factorization.

214230023020104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247080199 (or 247080195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214230023020104 its reverse (401020320032412), we get a palindrome (615250343052516).

The spelling of 214230023020104 in words is "two hundred fourteen trillion, two hundred thirty billion, twenty-three million, twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 397 546 728 794 1092 1191 1588 2184 2382 2779 3176 4764 5161 5558 8337 9528 10322 11116 15483 16674 20644 22232 30966 33348 36127 41288 61932 66696 72254 108381 123864 144508 216762 289016 433524 867048 247079773 494159546 741239319 988319092 1482478638 1729558411 1976638184 2964957276 3212037049 3459116822 5188675233 5929914552 6424074098 6918233644 9636111147 10377350466 12848148196 13836467288 19272222294 20754700932 22484259343 25696296392 38544444588 41509401864 44968518686 67452778029 77088889176 89937037372 98090669881 134905556058 179874074744 196181339762 269811112116 294272009643 392362679524 539622224232 588544019286 686634689167 784725359048 1177088038572 1275178708453 1373269378334 2059904067501 2354176077144 2550357416906 2746538756668 3825536125359 4119808135002 5100714833812 5493077513336 7651072250718 8239616270004 8926250959171 10201429667624 15302144501436 16479232540008 17852501918342 26778752877513 30604289002872 35705003836684 53557505755026 71410007673368 107115011510052 214230023020104