Search a number
-
+
203320122000 = 24353131258677
BaseRepresentation
bin1011110101011011010…
…0101101101010010000
3201102210201200100122220
42331112310231222100
511312344422401000
6233223131501040
720455314343662
oct2752664555220
9642721610586
10203320122000
11792559a9a86
12334a35b7780
13162331282c8
149bab018532
15544eb9e1a0
hex2f56d2da90

203320122000 has 160 divisors (see below), whose sum is σ = 660510474624. Its totient is φ = 53804608000.

The previous prime is 203320121987. The next prime is 203320122013. The reversal of 203320122000 is 221023302.

It is an interprime number because it is at equal distance from previous prime (203320121987) and next prime (203320122013).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656662 + ... + 915338.

Almost surely, 2203320122000 is an apocalyptic number.

203320122000 is a gapful number since it is divisible by the number (20) 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 203320122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330255237312).

203320122000 is an abundant number, since it is smaller than the sum of its proper divisors (457190352624).

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

203320122000 is a wasteful number, since it uses less digits than its factorization.

203320122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258834 (or 258818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 203320122000 its reverse (221023302), we get a palindrome (203541145302).

The spelling of 203320122000 in words is "two hundred three billion, three hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 131 150 200 240 250 262 300 375 393 400 500 524 600 655 750 786 1000 1048 1200 1310 1500 1572 1965 2000 2096 2620 3000 3144 3275 3930 5240 6000 6288 6550 7860 9825 10480 13100 15720 16375 19650 26200 31440 32750 39300 49125 52400 65500 78600 98250 131000 157200 196500 258677 262000 393000 517354 776031 786000 1034708 1293385 1552062 2069416 2586770 3104124 3880155 4138832 5173540 6208248 6466925 7760310 10347080 12416496 12933850 15520620 19400775 20694160 25867700 31041240 32334625 33886687 38801550 51735400 62082480 64669250 67773374 77603100 97003875 101660061 103470800 129338500 135546748 155206200 169433435 194007750 203320122 258677000 271093496 310412400 338866870 388015500 406640244 508300305 517354000 542186992 677733740 776031000 813280488 847167175 1016600610 1355467480 1552062000 1626560976 1694334350 2033201220 2541501525 2710934960 3388668700 4066402440 4235835875 5083003050 6777337400 8132804880 8471671750 10166006100 12707507625 13554674800 16943343500 20332012200 25415015250 33886687000 40664024400 50830030500 67773374000 101660061000 203320122000