Search a number
-
+
110203101312 = 2733117095417
BaseRepresentation
bin110011010100010011…
…1011110000010000000
3101112110020120120222220
41212220213132002000
53301143443220222
6122343202531040
710650635622363
oct1465047360200
9345406516886
10110203101312
1142811861137
1219436966a80
13a5135cb9b5
1454961720da
152ceed65b5c
hex19a89de080

110203101312 has 128 divisors (see below), whose sum is σ = 302402419200. Its totient is φ = 35522027520.

The previous prime is 110203101311. The next prime is 110203101367. The reversal of 110203101312 is 213101302011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1102031013122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110203101291 and 110203101300.

It is not an unprimeable number, because it can be changed into a prime (110203101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20341228 + ... + 20346644.

It is an arithmetic number, because the mean of its divisors is an integer number (2362518900).

Almost surely, 2110203101312 is an apocalyptic number.

110203101312 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 110203101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151201209600).

110203101312 is an abundant number, since it is smaller than the sum of its proper divisors (192199317888).

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

110203101312 is a wasteful number, since it uses less digits than its factorization.

110203101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 110203101312 its reverse (213101302011), we get a palindrome (323304403323).

The spelling of 110203101312 in words is "one hundred ten billion, two hundred three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1709 1984 2976 3418 3968 5127 5417 5952 6836 10254 10834 11904 13672 16251 20508 21668 27344 32502 41016 43336 52979 54688 65004 82032 86672 105958 109376 130008 158937 164064 167927 173344 211916 218752 260016 317874 328128 335854 346688 423832 503781 520032 635748 656256 671708 693376 847664 1007562 1040064 1271496 1343416 1695328 2015124 2080128 2542992 2686832 3390656 4030248 5085984 5373664 6781312 8060496 9257653 10171968 10747328 16120992 18515306 20343936 21494656 27772959 32241984 37030612 55545918 64483968 74061224 111091836 148122448 222183672 286987243 296244896 444367344 573974486 592489792 860961729 888734688 1147948972 1184979584 1721923458 1777469376 2295897944 3443846916 3554938752 4591795888 6887693832 9183591776 13775387664 18367183552 27550775328 36734367104 55101550656 110203101312