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120132112333233 = 371113174912287121
BaseRepresentation
bin11011010100001001101111…
…111000011011100110110001
3120202100111222110102221000110
4123110021233320123212301
5111221221031224130413
61103255532554411533
734206154506403350
oct3324115770334661
9522314873387013
10120132112333233
1135306819635590
12115824a9430ba9
135205542b19c10
1421945d4cb5997
15dd4da2b6a8c3
hex6d426fe1b9b1

120132112333233 has 64 divisors (see below), whose sum is σ = 215074073217024. Its totient is φ = 57602489472000.

The previous prime is 120132112333199. The next prime is 120132112333241. The reversal of 120132112333233 is 332333211231021.

It is not a de Polignac number, because 120132112333233 - 220 = 120132111284657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120132112333233.

It is not an unprimeable number, because it can be changed into a prime (120132112333253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51381913 + ... + 53669033.

It is an arithmetic number, because the mean of its divisors is an integer number (3360532394016).

Almost surely, 2120132112333233 is an apocalyptic number.

120132112333233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120132112333233 is a deficient number, since it is larger than the sum of its proper divisors (94941960883791).

120132112333233 is a wasteful number, since it uses less digits than its factorization.

120132112333233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304646.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 120132112333233 its reverse (332333211231021), we get a palindrome (452465323564254).

The spelling of 120132112333233 in words is "one hundred twenty trillion, one hundred thirty-two billion, one hundred twelve million, three hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 17491 52473 122437 192401 227383 367311 577203 682149 1346807 1591681 2287121 2501213 4040421 4775043 6861363 7503639 16009847 17508491 25158331 29732573 48029541 52525473 75474993 89197719 176108317 208128011 327058303 528324951 624384033 981174909 2289408121 6868224363 40004033411 120012100233 280028233877 440044367521 520052434343 840084701631 1320133102563 1560157303029 3080310572647 3640367040401 5720576777773 9240931717941 10921101121203 17161730333319 40044037444411 120132112333233