Search a number
-
+
112332111003030 = 235295317599138427
BaseRepresentation
bin11001100010101001011011…
…100100101011110110010110
3112201201211210221211121221210
4121202221123210223312112
5104210422130404044110
61034524354232122250
732442504300131022
oct3142513344536626
9481654727747853
10112332111003030
1132879865195106
1210722870836386
134a8ab4619a629
141da4c9048d382
15cec038eb5520
hex662a5b92bd96

112332111003030 has 128 divisors (see below), whose sum is σ = 284173857792000. Its totient is φ = 28374769672704.

The previous prime is 112332111003019. The next prime is 112332111003121. The reversal of 112332111003030 is 30300111233211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112332111002988 and 112332111003006.

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, 811420677 + ... + 811559103.

It is an arithmetic number, because the mean of its divisors is an integer number (2220108264000).

Almost surely, 2112332111003030 is an apocalyptic number.

112332111003030 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 112332111003030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142086928896000).

112332111003030 is an abundant number, since it is smaller than the sum of its proper divisors (171841746788970).

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

112332111003030 is a wasteful number, since it uses less digits than its factorization.

112332111003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156118.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 112332111003030 its reverse (30300111233211), we get a palindrome (142632222236241).

The spelling of 112332111003030 in words is "one hundred twelve trillion, three hundred thirty-two billion, one hundred eleven million, three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 53 58 87 106 145 159 174 265 290 318 435 530 795 870 1537 1590 3074 4611 7685 9222 15370 17599 23055 35198 46110 52797 87995 105594 138427 175990 263985 276854 415281 510371 527970 692135 830562 932747 1020742 1384270 1531113 1865494 2076405 2551855 2798241 3062226 4014383 4152810 4663735 5103710 5596482 7336631 7655565 8028766 9327470 12043149 13991205 14673262 15311130 20071915 22009893 24086298 27049663 27982410 36683155 40143830 44019786 54099326 60215745 73366310 81148989 110049465 120431490 135248315 162297978 212762299 220098930 270496630 405744945 425524598 638286897 811489890 1063811495 1276573794 2127622990 2436176773 3191434485 4872353546 6382868970 7308530319 12180883865 14617060638 24361767730 36542651595 70649126417 73085303190 129117368969 141298252834 211947379251 258234737938 353245632085 387352106907 423894758502 645586844845 706491264170 774704213814 1059736896255 1291173689690 1936760534535 2119473792510 3744403700101 3873521069070 7488807400202 11233211100303 18722018500505 22466422200606 37444037001010 56166055501515 112332111003030