Search a number
-
+
120210000102122 = 2719532991162343
BaseRepresentation
bin11011010101010010010010…
…010110101100001011101010
3120202121222000121000112122112
4123111102102112230023222
5111224010040011231442
61103355413415522322
734214612602456640
oct3325222226541352
9522558017015575
10120210000102122
113533685820a117
12115956059893a2
13520c9a6470928
1421982a32dd190
15dd6e109a8082
hex6d54925ac2ea

120210000102122 has 96 divisors (see below), whose sum is σ = 221314821611520. Its totient is φ = 47837563899840.

The previous prime is 120210000102121. The next prime is 120210000102167. The reversal of 120210000102122 is 221201000012021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120210000102097 and 120210000102106.

It is not an unprimeable number, because it can be changed into a prime (120210000102121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 740388083 + ... + 740550425.

It is an arithmetic number, because the mean of its divisors is an integer number (2305362725120).

Almost surely, 2120210000102122 is an apocalyptic number.

120210000102122 is a deficient number, since it is larger than the sum of its proper divisors (101104821509398).

120210000102122 is a wasteful number, since it uses less digits than its factorization.

120210000102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163468 (or 163415 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120210000102122 its reverse (221201000012021), we get a palindrome (341411000114143).

The spelling of 120210000102122 in words is "one hundred twenty trillion, two hundred ten billion, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 7 14 19 38 53 106 133 266 371 742 991 1007 1982 2014 2809 5618 6937 7049 13874 14098 18829 19663 37658 39326 52523 53371 105046 106742 131803 162343 263606 324686 367661 373597 735322 747194 997937 1136401 1995874 2272802 2783719 3084517 5567438 6169034 6985559 8604179 13971118 17208358 19486033 21591619 38972066 43183238 52890661 60229253 105781322 120458506 160881913 163479401 321763826 326958802 370234627 456021487 740469254 912042974 1126173391 1144355807 2252346782 2288711614 3056756347 3192150409 6113512694 6384300818 8526741389 8664408253 17053482778 17328816506 21397294429 42794588858 59687189723 60650857771 119374379446 121301715542 162008086391 324016172782 451917293617 903834587234 1134056604737 2268113209474 3163421055319 6326842110638 8586428578723 17172857157446 60105000051061 120210000102122