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120122242010113 = 72176110125193251
BaseRepresentation
bin11011010100000000100011…
…100100001000110000000001
3120202022120111120200120010111
4123110000203210020300001
5111221040322423310423
61103251221323231321
734205355065135200
oct3324004344106001
9522276446616114
10120122242010113
1135302614041752
12115805b3978541
13520462bc64135
142193d3a06b237
15dd49c637560d
hex6d4023908c01

120122242010113 has 96 divisors (see below), whose sum is σ = 152474745741696. Its totient is φ = 93996000000000.

The previous prime is 120122242010087. The next prime is 120122242010117. The reversal of 120122242010113 is 311010242221021.

It is not a de Polignac number, because 120122242010113 - 217 = 120122241879041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120122242010117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1288113738 + ... + 1288206988.

It is an arithmetic number, because the mean of its divisors is an integer number (1588278601476).

Almost surely, 2120122242010113 is an apocalyptic number.

It is an amenable number.

120122242010113 is a deficient number, since it is larger than the sum of its proper divisors (32352503731583).

120122242010113 is a wasteful number, since it uses less digits than its factorization.

120122242010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93695 (or 93688 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 120122242010113 its reverse (311010242221021), we get a palindrome (431132484231134).

The spelling of 120122242010113 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred forty-two million, ten thousand, one hundred thirteen".

Divisors: 1 7 17 49 61 101 119 251 427 707 833 1037 1717 1757 2989 4267 4949 6161 7259 12019 12299 15311 25351 29869 43127 50813 84133 93251 104737 107177 177457 209083 260287 301889 430967 652757 733159 750239 1242199 1546411 1585267 1822009 3016769 4569299 5132113 5688311 9418351 10824877 11096869 12754063 21117383 23406001 26288987 39818177 65928457 75774139 77678083 96701287 160111967 163842007 184022909 278727239 397902017 461499199 574519411 676909009 1120783769 1146894049 1288160363 1427766061 2364006101 2785314119 4021635877 4738363063 7845486383 9766829987 9994362427 16548042707 19497198833 24272023037 28151451139 40188103717 68367809909 69960536989 115836298949 144204372161 169904161259 281316726019 478574669363 1009430605127 1189329128813 1969217082133 2451474326737 7066014235889 17160320287159 120122242010113