Search a number
-
+
103220221210002 = 23413449109159133
BaseRepresentation
bin10111011110000011010100…
…100111100110110110010010
3111112110202102200122101120000
4113132003110213212312102
5102012130003112210002
61003310414235030430
730512262206613351
oct2736032447466622
9445422380571500
10103220221210002
112a9864a4a22456
12b6b092b29b416
134579818442020
141b6bc57615998
15bdeedc84c61c
hex5de0d49e6d92

103220221210002 has 80 divisors (see below), whose sum is σ = 249636023544600. Its totient is φ = 31689332656128.

The previous prime is 103220221209983. The next prime is 103220221210013. The reversal of 103220221210002 is 200012122022301.

103220221210002 is a `hidden beast` number, since 10 + 3 + 220 + 221 + 210 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49523436469521 + 53696784740481 = 7037289^2 + 7327809^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53633973 + ... + 55525160.

Almost surely, 2103220221210002 is an apocalyptic number.

103220221210002 is an abundant number, since it is smaller than the sum of its proper divisors (146415802334598).

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

103220221210002 is a wasteful number, since it uses less digits than its factorization.

103220221210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109159609 (or 109159600 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103220221210002 its reverse (200012122022301), we get a palindrome (303232343232303).

The spelling of 103220221210002 in words is "one hundred three trillion, two hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 449 702 898 1053 1347 2106 2694 4041 5837 8082 11674 12123 17511 24246 35022 36369 52533 72738 105066 157599 315198 472797 945594 109159133 218318266 327477399 654954798 982432197 1419068729 1964864394 2838137458 2947296591 4257206187 5894593182 8514412374 8841889773 12771618561 17683779546 25543237122 38314855683 49012450717 76629711366 98024901434 114944567049 147037352151 229889134098 294074704302 441112056453 637161859321 882224112906 1274323718642 1323336169359 1911485577963 2646672338718 3822971155926 3970008508077 5734456733889 7940017016154 11468913467778 17203370201667 34406740403334 51610110605001 103220221210002