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22312102130300 = 225217140922874073
BaseRepresentation
bin1010001001010111100001…
…11010111111001001111100
32221000000102202112022011002
411010223300322333021330
510411030141121132200
6115242012130545432
74461665455613123
oct504536072771174
987000382468132
1022312102130300
117122566a827a4
122604299a38278
13c5b039a19848
14571ca9254aba
1528a5c7c18bd5
hex144af0ebf27c

22312102130300 has 144 divisors (see below), whose sum is σ = 51336752987520. Its totient is φ = 8388158423040.

The previous prime is 22312102130293. The next prime is 22312102130323. The reversal of 22312102130300 is 303120121322.

It is a super-3 number, since 3×223121021303003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5478049064 + ... + 5478053136.

It is an arithmetic number, because the mean of its divisors is an integer number (356505229080).

Almost surely, 222312102130300 is an apocalyptic number.

22312102130300 is a gapful number since it is divisible by the number (20) 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 22312102130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25668376493760).

22312102130300 is an abundant number, since it is smaller than the sum of its proper divisors (29024650857220).

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

22312102130300 is a wasteful number, since it uses less digits than its factorization.

22312102130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22312102130300 its reverse (303120121322), we get a palindrome (22615222251622).

The spelling of 22312102130300 in words is "twenty-two trillion, three hundred twelve billion, one hundred two million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1409 1700 2287 2818 4073 4574 5636 7045 8146 9148 11435 14090 16292 20365 22870 23953 28180 35225 38879 40730 45740 47906 57175 69241 70450 77758 81460 95812 101825 114350 119765 138482 140900 155516 194395 203650 228700 239530 276964 346205 388790 407300 479060 598825 692410 777580 971975 1197650 1384820 1731025 1943950 2395300 3222383 3462050 3887900 5738857 6444766 6924100 9314951 11477714 12889532 16111915 18629902 22955428 28694285 32223830 37259804 46574755 54780511 57388570 64447660 80559575 93149510 97560569 109561022 114777140 143471425 158354167 161119150 186299020 195121138 219122044 232873775 273902555 286942850 316708334 322238300 390242276 465747550 487802845 547805110 573885700 633416668 791770835 931495100 975605690 1095610220 1369512775 1583541670 1951211380 2439014225 2739025550 3167083340 3958854175 4878028450 5478051100 7917708350 9756056900 13124765959 15835416700 26249531918 52499063836 65623829795 131247659590 223121021303 262495319180 328119148975 446242042606 656238297950 892484085212 1115605106515 1312476595900 2231210213030 4462420426060 5578025532575 11156051065150 22312102130300