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10022115314112 = 2631115793005269
BaseRepresentation
bin1001000111010111010010…
…0111111000100111000000
31022111002211110002121112020
42101311310213320213000
52303200243010022422
633152032441001440
72053034234406606
oct221656447704700
938432743077466
1010022115314112
11321439a900920
12115a42a183280
13579109b535c5
14269104329876
15125a7174d95c
hex91d749f89c0

10022115314112 has 112 divisors (see below), whose sum is σ = 28945798953600. Its totient is φ = 3035080258560.

The previous prime is 10022115314053. The next prime is 10022115314161. The reversal of 10022115314112 is 21141351122001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832214 + ... + 4837482.

Almost surely, 210022115314112 is an apocalyptic number.

10022115314112 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 10022115314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472899476800).

10022115314112 is an abundant number, since it is smaller than the sum of its proper divisors (18923683639488).

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

10022115314112 is a wasteful number, since it uses less digits than its factorization.

10022115314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006874 (or 3006864 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 10022115314112 its reverse (21141351122001), we get a palindrome (31163466436113).

The spelling of 10022115314112 in words is "ten trillion, twenty-two billion, one hundred fifteen million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1579 2112 3158 4737 6316 9474 12632 17369 18948 25264 34738 37896 50528 52107 69476 75792 101056 104214 138952 151584 208428 277904 303168 416856 555808 833712 1111616 1667424 3005269 3334848 6010538 9015807 12021076 18031614 24042152 33057959 36063228 48084304 66115918 72126456 96168608 99173877 132231836 144252912 192337216 198347754 264463672 288505824 396695508 528927344 577011648 793391016 1057854688 1586782032 2115709376 3173564064 4745319751 6347128128 9490639502 14235959253 18981279004 28471918506 37962558008 52198517261 56943837012 75925116016 104397034522 113887674024 151850232032 156595551783 208794069044 227775348048 303700464064 313191103566 417588138088 455550696096 626382207132 835176276176 911101392192 1252764414264 1670352552352 2505528828528 3340705104704 5011057657056 10022115314112