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1020231414 = 232372835413
BaseRepresentation
bin111100110011110…
…111111011110110
32122002202010101200
4330303313323312
54042134401124
6245123033330
734165552416
oct7463677366
92562663350
101020231414
11483991a64
1224580b846
131334a1a37
14996d6646
155e87abc9
hex3ccf7ef6

1020231414 has 48 divisors (see below), whose sum is σ = 2278687632. Its totient is φ = 329655744.

The previous prime is 1020231403. The next prime is 1020231419. The reversal of 1020231414 is 4141320201.

1020231414 is a `hidden beast` number, since 1 + 0 + 20 + 231 + 414 = 666.

It is a super-2 number, since 2×10202314142 = 2081744276224878792, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020231419) 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, 185772 + ... + 191184.

It is an arithmetic number, because the mean of its divisors is an integer number (47472659).

Almost surely, 21020231414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020231414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139343816).

1020231414 is an abundant number, since it is smaller than the sum of its proper divisors (1258456218).

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

1020231414 is a wasteful number, since it uses less digits than its factorization.

1020231414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1020231414 is about 31941.0615665792. The cubic root of 1020231414 is about 1006.6988301396.

Adding to 1020231414 its reverse (4141320201), we get a palindrome (5161551615).

It can be divided in two parts, 10202 and 31414, that added together give a triangular number (41616 = T288).

The spelling of 1020231414 in words is "one billion, twenty million, two hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 283 333 566 666 849 1698 2547 5094 5413 10471 10826 16239 20942 31413 32478 48717 62826 94239 97434 188478 200281 400562 600843 1201686 1531879 1802529 3063758 3605058 4595637 9191274 13786911 27573822 56679523 113359046 170038569 340077138 510115707 1020231414