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1121132430 = 2325111923137
BaseRepresentation
bin100001011010011…
…0001111110001110
32220010121102120100
41002310301332032
54244002214210
6303125431530
736532316445
oct10264617616
92803542510
101121132430
11525939430
1227356b5a6
1314b36c692
14a8c7dd5c
156865c5c0
hex42d31f8e

1121132430 has 144 divisors (see below), whose sum is σ = 3357183024. Its totient is φ = 257402880.

The previous prime is 1121132423. The next prime is 1121132437. The reversal of 1121132430 is 342311211.

It is an interprime number because it is at equal distance from previous prime (1121132423) and next prime (1121132437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121132437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355822 + ... + 358958.

It is an arithmetic number, because the mean of its divisors is an integer number (23313771).

Almost surely, 21121132430 is an apocalyptic number.

1121132430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121132430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678591512).

1121132430 is an abundant number, since it is smaller than the sum of its proper divisors (2236050594).

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

1121132430 is a wasteful number, since it uses less digits than its factorization.

1121132430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3177 counting only the distinct ones).

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

The square root of 1121132430 is about 33483.3156960299. The cubic root of 1121132430 is about 1038.8487105732.

Adding to 1121132430 its reverse (342311211), we get a palindrome (1463443641).

The spelling of 1121132430 in words is "one billion, one hundred twenty-one million, one hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 361 418 495 570 627 722 855 990 1045 1083 1254 1710 1805 1881 2090 2166 3135 3137 3249 3610 3762 3971 5415 6270 6274 6498 7942 9405 9411 10830 11913 15685 16245 18810 18822 19855 23826 28233 31370 32490 34507 35739 39710 47055 56466 59565 59603 69014 71478 94110 103521 119130 119206 141165 172535 178695 178809 207042 282330 298015 310563 345070 357390 357618 517605 536427 596030 621126 655633 894045 1035210 1072854 1132457 1311266 1552815 1788090 1966899 2264914 2682135 3105630 3278165 3397371 3933798 5364270 5662285 5900697 6556330 6794742 9834495 10192113 11324570 11801394 12457027 16986855 19668990 20384226 24914054 29503485 33973710 37371081 50960565 59006970 62285135 74742162 101921130 112113243 124570270 186855405 224226486 373710810 560566215 1121132430