Search a number
-
+
1010123031222 = 232459112223469
BaseRepresentation
bin11101011001100000000…
…01100100001010110110
310120120022012200200201100
432230300001210022312
5113022212443444342
62052013310110530
7132656535045414
oct16546001441266
93516265620640
101010123031222
1135a4331320a8
121439281ab446
137433c601846
1436c66a742b4
151b420327e4c
hexeb300642b6

1010123031222 has 24 divisors (see below), whose sum is σ = 2189076795360. Its totient is φ = 336634308720.

The previous prime is 1010123031191. The next prime is 1010123031259. The reversal of 1010123031222 is 2221303210101.

1010123031222 is a `hidden beast` number, since 1 + 0 + 101 + 230 + 312 + 22 = 666.

It is a super-4 number, since 4×10101230312224 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1010123031195 and 1010123031204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6029097 + ... + 6194372.

It is an arithmetic number, because the mean of its divisors is an integer number (91211533140).

Almost surely, 21010123031222 is an apocalyptic number.

1010123031222 is an abundant number, since it is smaller than the sum of its proper divisors (1178953764138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010123031222 is a wasteful number, since it uses less digits than its factorization.

1010123031222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228068 (or 12228065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010123031222 its reverse (2221303210101), we get a palindrome (3231426241323).

The spelling of 1010123031222 in words is "one trillion, ten billion, one hundred twenty-three million, thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 4591 9182 13773 27546 41319 82638 12223469 24446938 36670407 73340814 110011221 220022442 56117946179 112235892358 168353838537 336707677074 505061515611 1010123031222