Search a number
-
+
1021233312200 = 235229439140099
BaseRepresentation
bin11101101110001100011…
…11111011000111001000
310121121222111122110000102
432313012033323013020
5113212441211442300
62101051554024532
7133532053633223
oct16670617730710
93547874573012
101021233312200
113641146436a2
12145b08b78148
13753c032c3ba
14375dc4505ba
151b8708ed0d5
hexedc63fb1c8

1021233312200 has 96 divisors (see below), whose sum is σ = 2456862840000. Its totient is φ = 394307692800.

The previous prime is 1021233312199. The next prime is 1021233312217. The reversal of 1021233312200 is 22133321201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25447751 + ... + 25487849.

It is an arithmetic number, because the mean of its divisors is an integer number (25592321250).

Almost surely, 21021233312200 is an apocalyptic number.

1021233312200 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 1021233312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228431420000).

1021233312200 is an abundant number, since it is smaller than the sum of its proper divisors (1435629527800).

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

1021233312200 is a wasteful number, since it uses less digits than its factorization.

1021233312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44535 (or 44526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1021233312200 its reverse (22133321201), we get a palindrome (1043366633401).

Subtracting from 1021233312200 its reverse (22133321201), we obtain a palindrome (999099990999).

The spelling of 1021233312200 in words is "one trillion, twenty-one billion, two hundred thirty-three million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 4391 5800 8782 17564 21955 35128 40099 43910 80198 87820 109775 127339 160396 175640 200495 219550 254678 320792 400990 439100 509356 636695 801980 878200 1002475 1018712 1162871 1273390 1603960 2004950 2325742 2546780 3183475 4009900 4651484 5093560 5814355 6366950 8019800 9302968 11628710 12733900 23257420 25467800 29071775 46514840 58143550 116287100 176074709 232574200 352149418 704298836 880373545 1408597672 1760747090 3521494180 4401867725 5106166561 7042988360 8803735450 10212333122 17607470900 20424666244 25530832805 35214941800 40849332488 51061665610 102123331220 127654164025 204246662440 255308328050 510616656100 1021233312200