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20230110112122 = 23347101107737567
BaseRepresentation
bin1001001100110001100001…
…00001101110100101111010
32122121222110011020100222000
410212120300201232211322
510122422231142041442
6111005330112241430
74155401662504221
oct446306041564572
978558404210860
1020230110112122
11649a5a5840119
122328892b40276
13b398ca73c3b1
144dd1dd24bcb8
15251371934d4c
hex12663086e97a

20230110112122 has 128 divisors (see below), whose sum is σ = 46800282746880. Its totient is φ = 6473469268800.

The previous prime is 20230110112117. The next prime is 20230110112123. The reversal of 20230110112122 is 22121101103202.

It is a super-2 number, since 2×202301101121222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20230110112095 and 20230110112104.

It is not an unprimeable number, because it can be changed into a prime (20230110112123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27059383 + ... + 27796949.

It is an arithmetic number, because the mean of its divisors is an integer number (365627208960).

Almost surely, 220230110112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20230110112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23400141373440).

20230110112122 is an abundant number, since it is smaller than the sum of its proper divisors (26570172634758).

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

20230110112122 is a wasteful number, since it uses less digits than its factorization.

20230110112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737833 (or 737827 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20230110112122 its reverse (22121101103202), we get a palindrome (42351211215324).

The spelling of 20230110112122 in words is "twenty trillion, two hundred thirty billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 101 107 141 202 214 282 303 321 423 606 642 846 909 963 1269 1818 1926 2538 2727 2889 4747 5029 5454 5778 9494 10058 10807 14241 15087 21614 28482 30174 32421 42723 45261 64842 85446 90522 97263 128169 135783 194526 256338 271566 291789 507929 583578 737567 1015858 1475134 1523787 2212701 3047574 4425402 4571361 6638103 9142722 13276206 13714083 19914309 27428166 34665649 39828618 69331298 74494267 78919669 103996947 148988534 157839338 207993894 223482801 236759007 311990841 446965602 473518014 623981682 670448403 710277021 935972523 1340896806 1420554042 1871945046 2011345209 2130831063 3501230549 3709224443 4022690418 4261662126 7002461098 7418448886 7970886569 10503691647 11127673329 15941773138 21007383294 22255346658 23912659707 31511074941 33383019987 47825319414 63022149882 66766039974 71737979121 94533224823 100149059961 143475958242 189066449646 200298119922 215213937363 374631668743 430427874726 749263337486 1123895006229 2247790012458 3371685018687 6743370037374 10115055056061 20230110112122