Search a number
-
+
101024110320 = 24357371625227
BaseRepresentation
bin101111000010110000…
…0011001011011110000
3100122202112200112111120
41132011200121123300
53123344133012240
6114224305142240
710204320524610
oct1360540313360
9318675615446
10101024110320
1139931527371
12176b492a980
1396aca3bb93
144c65086a40
1529640cead0
hex17858196f0

101024110320 has 160 divisors (see below), whose sum is σ = 367587568128. Its totient is φ = 22467124224.

The previous prime is 101024110301. The next prime is 101024110333. The reversal of 101024110320 is 23011420101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101024110320.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 750454 + ... + 874773.

Almost surely, 2101024110320 is an apocalyptic number.

101024110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101024110320 is an abundant number, since it is smaller than the sum of its proper divisors (266563457808).

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

101024110320 is a wasteful number, since it uses less digits than its factorization.

101024110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625287 (or 1625281 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101024110320 its reverse (23011420101), we get a palindrome (124035530421).

The spelling of 101024110320 in words is "one hundred one billion, twenty-four million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3885 4144 4440 5180 6216 7770 8880 10360 12432 15540 20720 31080 62160 1625227 3250454 4875681 6500908 8126135 9751362 11376589 13001816 16252270 19502724 22753178 24378405 26003632 32504540 34129767 39005448 45506356 48756810 56882945 60133399 65009080 68259534 78010896 91012712 97513620 113765890 120266798 130018160 136519068 170648835 180400197 182025424 195027240 227531780 240533596 273038136 300666995 341297670 360800394 390054480 420933793 455063560 481067192 546076272 601333990 682595340 721600788 841867586 902000985 910127120 962134384 1202667980 1262801379 1365190680 1443201576 1683735172 1804001970 2104668965 2405335960 2525602758 2730381360 2886403152 3367470344 3608003940 4209337930 4810671920 5051205516 6314006895 6734940688 7216007880 8418675860 10102411032 12628013790 14432015760 16837351720 20204822064 25256027580 33674703440 50512055160 101024110320