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100320223000122 = 232103863380316487
BaseRepresentation
bin10110110011110110011111…
…010000010111011000111010
3111011012112000211101101221100
4112303312133100113120322
5101122121304042000442
6553210250232552230
730062616434551626
oct2663663720273072
9434175024341840
10100320223000122
1129a686275a4814
12b302893852676
1343c92058ca5c8
141aab74bac8186
15b8e85c59884c
hex5b3d9f41763a

100320223000122 has 96 divisors (see below), whose sum is σ = 219796198023168. Its totient is φ = 33066337639968.

The previous prime is 100320223000121. The next prime is 100320223000183. The reversal of 100320223000122 is 221000322023001.

100320223000122 is a `hidden beast` number, since 1 + 0 + 0 + 320 + 22 + 300 + 0 + 1 + 22 = 666.

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 = 100320223000095 and 100320223000104.

It is not an unprimeable number, because it can be changed into a prime (100320223000121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6084799363 + ... + 6084815849.

It is an arithmetic number, because the mean of its divisors is an integer number (2289543729408).

Almost surely, 2100320223000122 is an apocalyptic number.

100320223000122 is an abundant number, since it is smaller than the sum of its proper divisors (119475975023046).

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

100320223000122 is a wasteful number, since it uses less digits than its factorization.

100320223000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21264 (or 21261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100320223000122 its reverse (221000322023001), we get a palindrome (321320545023123).

The spelling of 100320223000122 in words is "one hundred trillion, three hundred twenty billion, two hundred twenty-three million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 103 206 309 618 863 927 1726 1854 2589 3803 5178 7606 7767 11409 15534 16487 22818 32974 34227 49461 68454 88889 98922 148383 177778 266667 296766 391709 533334 783418 800001 1175127 1600002 1698161 2350254 3281989 3396322 3525381 5094483 6563978 7050762 9845967 10188966 14228281 15283449 19691934 28456562 29537901 30566898 42684843 59075802 62700061 85369686 125400122 128054529 188100183 256109058 338044867 376200366 564300549 676089734 1014134601 1128601098 1465512943 2028269202 2931025886 3042403803 4396538829 6084807606 6458106283 8793077658 12916212566 13189616487 19374318849 26379232974 38748637698 54110152643 58122956547 108220305286 116245913094 162330457929 324660915858 486991373787 973982747574 5573345722229 11146691444458 16720037166687 33440074333374 50160111500061 100320223000122