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112042020014430 = 235111314253609397
BaseRepresentation
bin11001011110011011010000…
…110011011000100101011110
3112200201010001000110112102220
4121132123100303120211132
5104141144024110430210
61034143220551330210
732412524463326412
oct3136332063304536
9480633030415386
10112042020014430
1132777832406830
12106965b1980966
134a6969524c29c
141d94c11386d42
15ce470b6dec70
hex65e6d0cd895e

112042020014430 has 128 divisors (see below), whose sum is σ = 295655650684416. Its totient is φ = 26947978636800.

The previous prime is 112042020014429. The next prime is 112042020014513. The reversal of 112042020014430 is 34410020240211.

It is a self number, because there is not a number n which added to its sum of digits gives 112042020014430.

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, 183552492 + ... + 184161888.

It is an arithmetic number, because the mean of its divisors is an integer number (2309809770972).

Almost surely, 2112042020014430 is an apocalyptic number.

112042020014430 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 112042020014430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147827825342208).

112042020014430 is an abundant number, since it is smaller than the sum of its proper divisors (183613630669986).

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

112042020014430 is a wasteful number, since it uses less digits than its factorization.

112042020014430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613802.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112042020014430 its reverse (34410020240211), we get a palindrome (146452040254641).

The spelling of 112042020014430 in words is "one hundred twelve trillion, forty-two billion, twenty million, fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 262 330 393 655 786 1310 1441 1965 2882 3930 4253 4323 7205 8506 8646 12759 14410 21265 21615 25518 42530 43230 46783 63795 93566 127590 140349 233915 280698 467830 557143 609397 701745 1114286 1218794 1403490 1671429 1828191 2785715 3046985 3342858 3656382 5571430 6093970 6128573 6703367 8357145 9140955 12257146 13406734 16714290 18281910 18385719 20110101 30642865 33516835 36771438 40220202 61285730 67033670 79831007 91928595 100550505 159662014 183857190 201101010 239493021 399155035 478986042 798310070 878141077 1197465105 1756282154 2394930210 2591765441 2634423231 4390705385 5183530882 5268846462 7775296323 8781410770 12958827205 13172116155 15550592646 25917654410 26344232310 28509419851 38876481615 57018839702 77752963230 85528259553 142547099255 171056519106 285094198510 339521272771 427641297765 679042545542 855282595530 1018563818313 1697606363855 2037127636626 3395212727710 3734734000481 5092819091565 7469468000962 10185638183130 11204202001443 18673670002405 22408404002886 37347340004810 56021010007215 112042020014430