Search a number
-
+
1022010212311 = 112172954731321
BaseRepresentation
bin11101101111101001000…
…11100011111111010111
310121200222122112001121121
432313310203203333113
5113221034103243221
62101301025424411
7133560236320144
oct16676443437727
93550878461547
101022010212311
11364483137200
121460a519b107
13754b5284bca
14376736c53cb
151b8b8c10a41
hexedf48e3fd7

1022010212311 has 48 divisors (see below), whose sum is σ = 1232751229920. Its totient is φ = 842723481600.

The previous prime is 1022010212263. The next prime is 1022010212317. The reversal of 1022010212311 is 1132120102201.

It is not a de Polignac number, because 1022010212311 - 27 = 1022010212183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022010212317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32614531 + ... + 32645851.

It is an arithmetic number, because the mean of its divisors is an integer number (25682317290).

Almost surely, 21022010212311 is an apocalyptic number.

1022010212311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1022010212311 is a deficient number, since it is larger than the sum of its proper divisors (210741017609).

1022010212311 is a wasteful number, since it uses less digits than its factorization.

1022010212311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31936 (or 31925 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1022010212311 its reverse (1132120102201), we get a palindrome (2154130314512).

It can be divided in two parts, 1022010 and 212311, that added together give a palindrome (1234321).

The spelling of 1022010212311 in words is "one trillion, twenty-two billion, ten million, two hundred twelve thousand, three hundred eleven".

Divisors: 1 11 17 29 121 187 319 493 547 2057 3509 5423 6017 9299 15863 31321 59653 66187 102289 174493 269671 344531 532457 908309 1125179 1919423 2966381 3789841 5857027 9991399 15441253 17132587 32630191 64427297 109905389 169853783 188458457 291253979 496845023 1868391613 2073043027 3203793769 5465295253 8446365391 35241731459 60118247783 92910019301 1022010212311