Search a number
-
+
123132103010201 = 17436179157251887
BaseRepresentation
bin11011111111110011101101…
…010000101010011110011001
3121010222022110222011112200002
4123333303231100222132121
5112114344021332311301
61113514035054222345
734636000204410545
oct3377635520523631
9533868428145602
10123132103010201
113626303911377a
12119879b01b49b5
1353923cc73441c
1422598a8862a25
15e37e3666c16b
hex6ffced42a799

123132103010201 has 128 divisors (see below), whose sum is σ = 138892070338560. Its totient is φ = 108670947840000.

The previous prime is 123132103010149. The next prime is 123132103010239. The reversal of 123132103010201 is 102010301231321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123132103010201 - 222 = 123132098815897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123132103010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138818604980 + ... + 138818605866.

It is an arithmetic number, because the mean of its divisors is an integer number (1085094299520).

Almost surely, 2123132103010201 is an apocalyptic number.

It is an amenable number.

123132103010201 is a deficient number, since it is larger than the sum of its proper divisors (15759967328359).

123132103010201 is a wasteful number, since it uses less digits than its factorization.

123132103010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123132103010201 its reverse (102010301231321), we get a palindrome (225142404241522).

The spelling of 123132103010201 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, one hundred three million, ten thousand, two hundred one".

Divisors: 1 17 43 61 79 157 251 731 887 1037 1343 2623 2669 3397 4267 4819 6751 9577 10793 12403 15079 15311 19829 38141 39407 44591 54107 57749 70073 81923 114767 139259 162809 183481 207217 210851 222637 260287 337093 411811 533329 648397 658373 669919 756583 852647 919819 1191241 1209569 1694501 2326601 2367403 2403827 3013139 3113153 3522689 3784829 4274453 5988137 7000787 8494799 9066593 9573391 11001461 11192341 12861911 13580857 14494999 17588323 20562673 28806517 32533069 34954009 39552217 40865059 51223363 52011467 52923601 72665701 101798329 103364561 133865579 144411583 162747647 183801479 187024837 189902333 230874569 299001491 365276357 473062823 553062173 583976851 594218153 671089121 756297889 884194939 1072887703 1503022387 1757197537 2132194549 2275714843 2761366711 3124625143 3228339661 6209698069 8042067991 8165800319 9927606467 11408515057 12857064113 18239090951 25551380579 28856832203 36247307333 46134171229 46943234087 91684365607 118738768573 138818605423 168443369371 490566147451 784280910893 1558634215319 2018559065741 2863537279307 7243064882953 123132103010201