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120180700431 = 3411791707379
BaseRepresentation
bin110111111101101010…
…0111111010100001111
3102111012121012010220000
41233323110333110033
53432112224403211
6131113225255343
711453122045551
oct1577324772417
9374177163800
10120180700431
1146a71966020
121b360334553
13b443774cbc
145b613434d1
1531d5c9b656
hex1bfb53f50f

120180700431 has 40 divisors (see below), whose sum is σ = 198329260800. Its totient is φ = 71914761360.

The previous prime is 120180700403. The next prime is 120180700447. The reversal of 120180700431 is 134007081021.

It is not a de Polignac number, because 120180700431 - 211 = 120180698383 is a prime.

It is a super-2 number, since 2×1201807004312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120180700395 and 120180700404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120180700331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 783301 + ... + 924078.

It is an arithmetic number, because the mean of its divisors is an integer number (4958231520).

Almost surely, 2120180700431 is an apocalyptic number.

120180700431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120180700431 is a deficient number, since it is larger than the sum of its proper divisors (78148560369).

120180700431 is a wasteful number, since it uses less digits than its factorization.

120180700431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707481 (or 1707472 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 120180700431 its reverse (134007081021), we get a palindrome (254187781452).

The spelling of 120180700431 in words is "one hundred twenty billion, one hundred eighty million, seven hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 79 81 99 237 297 711 869 891 2133 2607 6399 7821 23463 70389 1707379 5122137 15366411 18781169 46099233 56343507 134882941 138297699 169030521 404648823 507091563 1213946469 1483712351 1521274689 3641839407 4451137053 10925518221 13353411159 40060233477 120180700431