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380211318201 = 311133723953337
BaseRepresentation
bin1011000100001100101…
…11000100110110111001
31100100101120200011211010
411202012113010312321
522212133044140301
6450400000024133
736316663611111
oct5420627046671
91310346604733
10380211318201
11137279416920
1261830002049
1329b13981580
141458bda8041
159d544c05d6
hex58865c4db9

380211318201 has 32 divisors (see below), whose sum is σ = 611672439168. Its totient is φ = 206956823040.

The previous prime is 380211318173. The next prime is 380211318211. The reversal of 380211318201 is 102813112083.

It is not a de Polignac number, because 380211318201 - 217 = 380211187129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (380211318211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11960796 + ... + 11992541.

It is an arithmetic number, because the mean of its divisors is an integer number (19114763724).

Almost surely, 2380211318201 is an apocalyptic number.

It is an amenable number.

380211318201 is a deficient number, since it is larger than the sum of its proper divisors (231461120967).

380211318201 is a wasteful number, since it uses less digits than its factorization.

380211318201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23953401.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 380211318201 in words is "three hundred eighty billion, two hundred eleven million, three hundred eighteen thousand, two hundred one".

Divisors: 1 3 11 13 33 37 39 111 143 407 429 481 1221 1443 5291 15873 23953337 71860011 263486707 311393381 790460121 886273469 934180143 2658820407 3425327191 9749008159 10275981573 11521555097 29247024477 34564665291 126737106067 380211318201