Search a number
-
+
101222111000 = 2353594493821
BaseRepresentation
bin101111001000101001…
…1101101011100011000
3100200021100021000101002
41132101103231130120
53124300330023000
6114300101044132
710212243514223
oct1362123553430
9320240230332
10101222111000
1139a2327419a
121774b0b6648
139711a7614a
144c834a85ba
1529766918d5
hex17914ed718

101222111000 has 128 divisors (see below), whose sum is σ = 241473960000. Its totient is φ = 39703552000.

The previous prime is 101222110999. The next prime is 101222111033. The reversal of 101222111000 is 111222101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26489090 + ... + 26492910.

Almost surely, 2101222111000 is an apocalyptic number.

101222111000 is a gapful number since it is divisible by the number (10) 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 101222111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120736980000).

101222111000 is an abundant number, since it is smaller than the sum of its proper divisors (140251849000).

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

101222111000 is a wasteful number, since it uses less digits than its factorization.

101222111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101222111000 its reverse (111222101), we get a palindrome (101333333101).

The spelling of 101222111000 in words is "one hundred one billion, two hundred twenty-two million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 449 472 500 590 898 1000 1180 1475 1796 2245 2360 2950 3592 3821 4490 5900 7375 7642 8980 11225 11800 14750 15284 17960 19105 22450 26491 29500 30568 38210 44900 52982 56125 59000 76420 89800 95525 105964 112250 132455 152840 191050 211928 224500 225439 264910 382100 449000 450878 477625 529820 662275 764200 901756 955250 1059640 1127195 1324550 1715629 1803512 1910500 2254390 2649100 3311375 3431258 3821000 4508780 5298200 5635975 6622750 6862516 8578145 9017560 11271950 13245500 13725032 17156290 22543900 26491000 28179875 34312580 42890725 45087800 56359750 68625160 85781450 101222111 112719500 171562900 202444222 214453625 225439000 343125800 404888444 428907250 506110555 809776888 857814500 1012221110 1715629000 2024442220 2530552775 4048884440 5061105550 10122211100 12652763875 20244422200 25305527750 50611055500 101222111000