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1331124432 = 2431137611117
BaseRepresentation
bin100111101010111…
…0101100011010000
310102202202010102220
41033111311203100
510211231440212
6340030341040
744662241151
oct11725654320
93382663386
101331124432
11623426540
1231195a780
13182a149c1
14c8b03928
157bcdc38c
hex4f5758d0

1331124432 has 160 divisors (see below), whose sum is σ = 3919403904. Its totient is φ = 385689600.

The previous prime is 1331124427. The next prime is 1331124437. The reversal of 1331124432 is 2344211331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1331124427) and next prime (1331124437).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331124437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191138 + ... + 1192254.

Almost surely, 21331124432 is an apocalyptic number.

1331124432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959701952).

1331124432 is an abundant number, since it is smaller than the sum of its proper divisors (2588279472).

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

1331124432 is a wasteful number, since it uses less digits than its factorization.

1331124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1231 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1331124432 is about 36484.5780022190. The cubic root of 1331124432 is about 1100.0342777197.

Adding to 1331124432 its reverse (2344211331), we get a palindrome (3675335763).

The spelling of 1331124432 in words is "one billion, three hundred thirty-one million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 61 66 74 88 111 122 132 148 176 183 222 244 264 296 366 407 444 488 528 592 671 732 814 888 976 1117 1221 1342 1464 1628 1776 2013 2234 2257 2442 2684 2928 3256 3351 4026 4468 4514 4884 5368 6512 6702 6771 8052 8936 9028 9768 10736 12287 13404 13542 16104 17872 18056 19536 24574 24827 26808 27084 32208 36112 36861 41329 49148 49654 53616 54168 68137 73722 74481 82658 98296 99308 108336 123987 136274 147444 148962 165316 196592 198616 204411 247974 272548 294888 297924 330632 397232 408822 454619 495948 545096 589776 595848 661264 749507 817644 909238 991896 1090192 1191696 1363857 1499014 1635288 1818476 1983792 2248521 2521069 2727714 2998028 3270576 3636952 4497042 5042138 5455428 5996056 7273904 7563207 8994084 10084276 10910856 11992112 15126414 17988168 20168552 21821712 27731759 30252828 35976336 40337104 55463518 60505656 83195277 110927036 121011312 166390554 221854072 332781108 443708144 665562216 1331124432