Search a number
-
+
122113100120160 = 25351714964840701
BaseRepresentation
bin11011110000111110101011…
…111101001000000001100000
3121000100220020220110021122210
4123300332223331020001200
5112001200112112321120
61111413552254002120
734502244312640662
oct3360765375100140
9530326226407583
10122113100120160
11359aa969599286
12118424061a6340
13531a2a6528866
14222243c72c532
15e1b696999ce0
hex6f0fabf48060

122113100120160 has 96 divisors (see below), whose sum is σ = 407283104545632. Its totient is φ = 30647993753600.

The previous prime is 122113100120159. The next prime is 122113100120173. The reversal of 122113100120160 is 61021001311221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7482412191 + ... + 7482428510.

It is an arithmetic number, because the mean of its divisors is an integer number (4242532339017).

Almost surely, 2122113100120160 is an apocalyptic number.

122113100120160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113100120160 is an abundant number, since it is smaller than the sum of its proper divisors (285170004425472).

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

122113100120160 is a wasteful number, since it uses less digits than its factorization.

122113100120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14964840736 (or 14964840728 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 122113100120160 its reverse (61021001311221), we get a palindrome (183134101431381).

The spelling of 122113100120160 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred million, one hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 14964840701 29929681402 44894522103 59859362804 74824203505 89789044206 119718725608 149648407010 179578088412 224472610515 239437451216 254402291917 299296814020 359156176824 448945221030 478874902432 508804583834 598593628040 718312353648 763206875751 897890442060 1017609167668 1197187256080 1272011459585 1436624707296 1526413751502 1795780884120 2035218335336 2394374512160 2544022919170 3052827503004 3591561768240 3816034378755 4070436670672 5088045838340 6105655006008 7183123536480 7632068757510 8140873341344 10176091676680 12211310012016 15264137515020 20352183353360 24422620024032 30528275030040 40704366706720 61056550060080 122113100120160