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2120140434401 = 1123167130738393
BaseRepresentation
bin11110110110100010001…
…101111010101111100001
321111200110020021021020122
4132312202031322233201
5234214021422400101
64301551251250025
7306114025230143
oct36664215725741
97450406237218
102120140434401
117481680043a0
122a2a928a9915
13124c0b87b702
1474888710c93
153a23a47351b
hex1eda237abe1

2120140434401 has 32 divisors (see below), whose sum is σ = 2429813127168. Its totient is φ = 1831111047040.

The previous prime is 2120140434361. The next prime is 2120140434469. The reversal of 2120140434401 is 1044340410212.

It is not a de Polignac number, because 2120140434401 - 214 = 2120140418017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120140434491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55202861 + ... + 55241253.

It is an arithmetic number, because the mean of its divisors is an integer number (75931660224).

Almost surely, 22120140434401 is an apocalyptic number.

It is an amenable number.

2120140434401 is a deficient number, since it is larger than the sum of its proper divisors (309672692767).

2120140434401 is a wasteful number, since it uses less digits than its factorization.

2120140434401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39901.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2120140434401 its reverse (1044340410212), we get a palindrome (3164480844613).

The spelling of 2120140434401 in words is "two trillion, one hundred twenty billion, one hundred forty million, four hundred thirty-four thousand, four hundred one".

Divisors: 1 11 23 167 253 1307 1837 3841 14377 30061 38393 42251 218269 330671 422323 883039 2400959 5020187 6411631 9713429 50179651 55222057 70527941 147467513 551976161 1154131973 1622142643 8380001717 12695451703 92180018887 192740039491 2120140434401