Search a number
-
+
1125242231022 = 233713287979537
BaseRepresentation
bin10000010111111101101…
…010011101100011101110
310222120110001202222001000
4100113331222131203232
5121413444002343042
62220532410101130
7144203360102550
oct20277552354356
93876401688030
101125242231022
113a42379a4848
121620b541a7a6
1382157563c50
143c667aa74d0
151e40ba7074c
hex105fda9d8ee

1125242231022 has 128 divisors (see below), whose sum is σ = 3078693273600. Its totient is φ = 296660371968.

The previous prime is 1125242230999. The next prime is 1125242231033. The reversal of 1125242231022 is 2201322425211.

1125242231022 is a `hidden beast` number, since 1 + 12 + 524 + 2 + 23 + 102 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14107638 + ... + 14187174.

It is an arithmetic number, because the mean of its divisors is an integer number (24052291200).

Almost surely, 21125242231022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125242231022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539346636800).

1125242231022 is an abundant number, since it is smaller than the sum of its proper divisors (1953451042578).

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

1125242231022 is a wasteful number, since it uses less digits than its factorization.

1125242231022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82447 (or 82441 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1125242231022 its reverse (2201322425211), we get a palindrome (3326564656233).

The spelling of 1125242231022 in words is "one trillion, one hundred twenty-five billion, two hundred forty-two million, two hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 2879 4914 5758 8637 17274 20153 25911 37427 40306 51822 60459 74854 77733 79537 112281 120918 155466 159074 181377 224562 238611 261989 336843 362754 477222 523978 544131 556759 673686 715833 785967 1010529 1033981 1088262 1113518 1431666 1571934 1670277 2021058 2067962 2147499 2357901 3101943 3340554 4294998 4715802 5010831 6203886 7073703 7237867 9305829 10021662 14147406 14475734 15032493 18611658 21713601 27917487 30064986 43427202 55834974 65140803 130281606 195422409 228987023 390844818 457974046 686961069 1373922138 1602909161 2060883207 2976831299 3205818322 4121766414 4808727483 5953662598 6182649621 8930493897 9617454966 12365299242 14426182449 17860987794 20837819093 26791481691 28852364898 41675638186 43278547347 53582963382 62513457279 80374445073 86557094694 125026914558 160748890146 187540371837 375080743674 562621115511 1125242231022