Search a number
-
+
22100121020120 = 235111325589150989
BaseRepresentation
bin1010000011001100101011…
…10111001110011011011000
32220020202021102200011021012
411001212111313032123120
510344042021440120440
6115000353324033052
74440452413115543
oct501462567163330
986222242604235
1022100121020120
117050677192150
12258b199992788
13c4405644ab80
14565919c7185a
15284d1ca05e65
hex141995dce6d8

22100121020120 has 128 divisors (see below), whose sum is σ = 58421171592000. Its totient is φ = 7417883412480.

The previous prime is 22100121020119. The next prime is 22100121020129. The reversal of 22100121020120 is 2102012100122.

It is a junction number, because it is equal to n+sod(n) for n = 22100121020095 and 22100121020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100121020129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146293586 + ... + 146444574.

Almost surely, 222100121020120 is an apocalyptic number.

22100121020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100121020120 is an abundant number, since it is smaller than the sum of its proper divisors (36321050571880).

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

22100121020120 is a wasteful number, since it uses less digits than its factorization.

22100121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176613 (or 176609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22100121020120 its reverse (2102012100122), we get a palindrome (24202133120242).

The spelling of 22100121020120 in words is "twenty-two trillion, one hundred billion, one hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 25589 51178 102356 127945 150989 204712 255890 281479 301978 332657 511780 562958 603956 665314 754945 1023560 1125916 1207912 1330628 1407395 1509890 1660879 1663285 1962857 2251832 2661256 2814790 3019780 3321758 3326570 3659227 3925714 5629580 6039560 6643516 6653140 7318454 7851428 8304395 9814285 11259160 13287032 13306280 14636908 15702856 16608790 18296135 19628570 21591427 29273816 33217580 36592270 39257140 43182854 66435160 73184540 78514280 86365708 107957135 146369080 172731416 215914270 431828540 863657080 3863657521 7727315042 15454630084 19318287605 30909260168 38636575210 42500232731 50227547773 77273150420 85000465462 100455095546 154546300840 170000930924 200910191092 212501163655 251137738865 340001861848 401820382184 425002327310 502275477730 552503025503 850004654620 1004550955460 1105006051006 1700009309240 2009101910920 2210012102012 2762515127515 4420024204024 5525030255030 11050060510060 22100121020120