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108230729712 = 24372927740099
BaseRepresentation
bin110010011001100001…
…1011101111111110000
3101100100210012201210220
41210303003131333300
53233124031322322
6121415344053040
710551026011020
oct1446303357760
9340323181726
10108230729712
114199a475166
1218b86304180
13a28aaa9001
14534a229a80
152c36b0e55c
hex19330ddff0

108230729712 has 160 divisors (see below), whose sum is σ = 331758528000. Its totient is φ = 29748225024.

The previous prime is 108230729693. The next prime is 108230729713. The reversal of 108230729712 is 217927032801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108230729713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2679039 + ... + 2719137.

It is an arithmetic number, because the mean of its divisors is an integer number (2073490800).

Almost surely, 2108230729712 is an apocalyptic number.

108230729712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108230729712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165879264000).

108230729712 is an abundant number, since it is smaller than the sum of its proper divisors (223527798288).

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

108230729712 is a wasteful number, since it uses less digits than its factorization.

108230729712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40423 (or 40417 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 108230729712 in words is "one hundred eight billion, two hundred thirty million, seven hundred twenty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 277 336 348 406 464 554 609 696 812 831 1108 1218 1392 1624 1662 1939 2216 2436 3248 3324 3878 4432 4872 5817 6648 7756 8033 9744 11634 13296 15512 16066 23268 24099 31024 32132 40099 46536 48198 56231 64264 80198 93072 96396 112462 120297 128528 160396 168693 192792 224924 240594 280693 320792 337386 385584 449848 481188 561386 641584 674772 842079 899696 962376 1122772 1162871 1349544 1684158 1924752 2245544 2325742 2699088 3368316 3488613 4491088 4651484 6736632 6977226 8140097 9302968 11107423 13473264 13954452 16280194 18605936 22214846 24420291 27908904 32560388 33322269 44429692 48840582 55817808 65120776 66644538 77751961 88859384 97681164 130241552 133289076 155503922 177718768 195362328 233255883 266578152 311007844 322115267 390724656 466511766 533156304 622015688 644230534 933023532 966345801 1244031376 1288461068 1866047064 1932691602 2254806869 2576922136 3732094128 3865383204 4509613738 5153844272 6764420607 7730766408 9019227476 13528841214 15461532816 18038454952 27057682428 36076909904 54115364856 108230729712