Search a number
-
+
1110000101232 = 2431137239237733
BaseRepresentation
bin10000001001110001001…
…010010110011101110000
310221010002211000112201110
4100021301022112131300
5121141240011214412
62205532122233320
7143123560120431
oct20116112263560
93833084015643
101110000101232
11398826135070
1215b160955840
13808987cc839
143ba1d655488
151dd1887dd3c
hex10271296770

1110000101232 has 160 divisors (see below), whose sum is σ = 3226183511040. Its totient is φ = 325902044160.

The previous prime is 1110000101219. The next prime is 1110000101233. The reversal of 1110000101232 is 2321010000111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110000101233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4550238 + ... + 4787970.

It is an arithmetic number, because the mean of its divisors is an integer number (20163646944).

Almost surely, 21110000101232 is an apocalyptic number.

1110000101232 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 1110000101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613091755520).

1110000101232 is an abundant number, since it is smaller than the sum of its proper divisors (2116183409808).

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

1110000101232 is a wasteful number, since it uses less digits than its factorization.

1110000101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238031 (or 238025 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1110000101232 its reverse (2321010000111), we get a palindrome (3431010101343).

The spelling of 1110000101232 in words is "one trillion, one hundred ten billion, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 239 264 296 407 444 478 528 592 717 814 888 956 1221 1434 1628 1776 1912 2442 2629 2868 3256 3824 4884 5258 5736 6512 7887 8843 9768 10516 11472 15774 17686 19536 21032 26529 31548 35372 42064 53058 63096 70744 97273 106116 126192 141488 194546 212232 237733 291819 389092 424464 475466 583638 713199 778184 950932 1167276 1426398 1556368 1901864 2334552 2615063 2852796 3803728 4669104 5230126 5705592 7845189 8796121 10460252 11411184 15690378 17592242 20920504 26388363 31380756 35184484 41841008 52776726 56818187 62761512 70368968 96757331 105553452 113636374 125523024 140737936 170454561 193514662 211106904 227272748 290271993 340909122 387029324 422213808 454545496 580543986 625000057 681818244 774058648 909090992 1161087972 1250000114 1363636488 1548117296 1875000171 2102272919 2322175944 2500000228 2727272976 3750000342 4204545838 4644351888 5000000456 6306818757 7500000684 8409091676 10000000912 12613637514 15000001368 16818183352 23125002109 25227275028 30000002736 33636366704 46250004218 50454550056 69375006327 92500008436 100909100112 138750012654 185000016872 277500025308 370000033744 555000050616 1110000101232