Search a number
-
+
1230023312112 = 243761103582649
BaseRepresentation
bin10001111001100011000…
…110100100001011110000
311100120220102212101120010
4101321203012210023300
5130123041431441422
62341022004214520
7154603060434150
oct21714306441360
94316812771503
101230023312112
11434717102931
1217a47839a440
138bcb575294a
1443767ac0760
1521ee08bbb0c
hex11e631a42f0

1230023312112 has 160 divisors (see below), whose sum is σ = 3726871782400. Its totient is φ = 342317352960.

The previous prime is 1230023312081. The next prime is 1230023312171. The reversal of 1230023312112 is 2112133200321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819764 + ... + 2402412.

It is an arithmetic number, because the mean of its divisors is an integer number (23292948640).

Almost surely, 21230023312112 is an apocalyptic number.

1230023312112 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 1230023312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863435891200).

1230023312112 is an abundant number, since it is smaller than the sum of its proper divisors (2496848470288).

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

1230023312112 is a wasteful number, since it uses less digits than its factorization.

1230023312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582831 (or 582825 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1230023312112 its reverse (2112133200321), we get a palindrome (3342156512433).

The spelling of 1230023312112 in words is "one trillion, two hundred thirty billion, twenty-three million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 103 112 122 168 183 206 244 309 336 366 412 427 488 618 721 732 824 854 976 1236 1281 1442 1464 1648 1708 2163 2472 2562 2884 2928 3416 4326 4944 5124 5768 6283 6832 8652 10248 11536 12566 17304 18849 20496 25132 34608 37698 43981 50264 75396 87962 100528 131943 150792 175924 263886 301584 351848 527772 582649 703696 1055544 1165298 1747947 2111088 2330596 3495894 4078543 4661192 6991788 8157086 9322384 12235629 13983576 16314172 24471258 27967152 32628344 35541589 48942516 60012847 65256688 71083178 97885032 106624767 120025694 142166356 180038541 195770064 213249534 240051388 248791123 284332712 360077082 420089929 426499068 480102776 497582246 568665424 720154164 746373369 840179858 852998136 960205552 995164492 1260269787 1440308328 1492746738 1680359716 1705996272 1990328984 2520539574 2880616656 2985493476 3360719432 3660783667 3980657968 5041079148 5970986952 6721438864 7321567334 10082158296 10982351001 11941973904 14643134668 20164316592 21964702002 25625485669 29286269336 43929404004 51250971338 58572538672 76876457007 87858808008 102501942676 153752914014 175717616016 205003885352 307505828028 410007770704 615011656056 1230023312112