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61231122 = 23229412861
BaseRepresentation
bin1110100110010…
…1000000010010
311021012212022100
43221211000102
5111133343442
610024221230
71342312251
oct351450022
9137185270
1061231122
1131621937
121860a816
13c8bb444
1481bc798
15559784c
hex3a65012

61231122 has 48 divisors (see below), whose sum is σ = 140638680. Its totient is φ = 19219200.

The previous prime is 61231109. The next prime is 61231123. The reversal of 61231122 is 22113216.

61231122 is a `hidden beast` number, since 612 + 31 + 1 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39803481 + 21427641 = 6309^2 + 4629^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61231095 and 61231104.

It is not an unprimeable number, because it can be changed into a prime (61231123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19972 + ... + 22832.

Almost surely, 261231122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61231122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70319340).

61231122 is an abundant number, since it is smaller than the sum of its proper divisors (79407558).

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

61231122 is a wasteful number, since it uses less digits than its factorization.

61231122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2936 counting only the distinct ones).

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

The square root of 61231122 is about 7825.0317571241. The cubic root of 61231122 is about 394.1462562654.

Adding to 61231122 its reverse (22113216), we get a palindrome (83344338).

The spelling of 61231122 in words is "sixty-one million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 2861 3567 5722 7134 8583 10701 17166 21402 25749 51498 82969 117301 165938 234602 248907 351903 497814 703806 746721 1055709 1493442 2111418 3401729 6803458 10205187 20410374 30615561 61231122