Search a number
-
+
1012212334221 = 311174747338111
BaseRepresentation
bin11101011101011001000…
…11100111111010001101
310120202200211002021121220
432232230203213322031
5113041002324143341
62053000503113553
7133062364610664
oct16565443477215
93522624067556
101012212334221
113603055243a0
1214420ba428b9
13745b34157ca
1436dc4337ddb
151b4e397aa66
hexebac8e7e8d

1012212334221 has 64 divisors (see below), whose sum is σ = 1592616370176. Its totient is φ = 564902374400.

The previous prime is 1012212334157. The next prime is 1012212334249. The reversal of 1012212334221 is 1224332122101.

It is a cyclic number.

It is not a de Polignac number, because 1012212334221 - 26 = 1012212334157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1012212334191 and 1012212334200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012212334121) 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, 124790956 + ... + 124799066.

It is an arithmetic number, because the mean of its divisors is an integer number (24884630784).

Almost surely, 21012212334221 is an apocalyptic number.

1012212334221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012212334221 is a deficient number, since it is larger than the sum of its proper divisors (580404035955).

1012212334221 is a wasteful number, since it uses less digits than its factorization.

1012212334221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1012212334221 its reverse (1224332122101), we get a palindrome (2236544456322).

The spelling of 1012212334221 in words is "one trillion, twelve billion, two hundred twelve million, three hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 47 51 141 187 517 561 799 1551 2397 4733 8111 8789 14199 24333 26367 52063 80461 89221 137887 156189 222451 241383 267663 381217 413661 667353 885071 1143651 1516757 2446961 2655213 3781667 4193387 4550271 6480689 7340883 11345001 12580161 19442067 38389363 41598337 71287579 115168089 124795011 213862737 422282993 652619171 1266848979 1804300061 1957857513 5412900183 7178810881 19847300671 21536432643 30673101037 59541902013 92019303111 337404111407 1012212334221