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11002221111120 = 2435711190954217
BaseRepresentation
bin1010000000011010011101…
…1110110010011101010000
31102221210122201001210222020
42200012213132302131100
52420230022101023440
635222203421411440
72213612203260051
oct240064736623520
942853581053866
1011002221111120
113562019a98638
121298379709b80
1361a6746377a5
142a072054a728
151412d66963d0
hexa01a77b2750

11002221111120 has 160 divisors (see below), whose sum is σ = 34590806403840. Its totient is φ = 2892306493440.

The previous prime is 11002221111109. The next prime is 11002221111137. The reversal of 11002221111120 is 2111112220011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11002221111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202902252 + ... + 202956468.

It is an arithmetic number, because the mean of its divisors is an integer number (216192540024).

Almost surely, 211002221111120 is an apocalyptic number.

11002221111120 is a gapful number since it is divisible by the number (10) 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 11002221111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295403201920).

11002221111120 is an abundant number, since it is smaller than the sum of its proper divisors (23588585292720).

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

11002221111120 is a wasteful number, since it uses less digits than its factorization.

11002221111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66213 (or 66207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11002221111120 its reverse (2111112220011), we get a palindrome (13113333331131).

The spelling of 11002221111120 in words is "eleven trillion, two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 11909 17040 23818 35727 47636 54217 59545 71454 95272 108434 119090 142908 162651 178635 190544 216868 238180 271085 285816 325302 357270 433736 476360 542170 571632 650604 714540 813255 845539 867472 952720 1084340 1301208 1429080 1626510 1691078 2168680 2536617 2602416 2858160 3253020 3382156 3849407 4227695 4337360 5073234 6506040 6764312 7698814 8455390 10146468 11548221 12683085 13012080 13528624 15397628 16910780 19247035 20292936 23096442 25366170 30795256 33821560 38494070 40585872 46192884 50732340 57741105 61590512 67643120 76988140 92385768 101464680 115482210 153976280 184771536 202929360 230964420 307952560 461928840 645670253 923857680 1291340506 1937010759 2582681012 3228351265 3874021518 5165362024 6456702530 7748043036 9685053795 10330724048 12913405060 15496086072 19370107590 25826810120 30992172144 38740215180 45842587963 51653620240 77480430360 91685175926 137527763889 154960860720 183370351852 229212939815 275055527778 366740703704 458425879630 550111055556 687638819445 733481407408 916851759260 1100222111112 1375277638890 1833703518520 2200444222224 2750555277780 3667407037040 5501110555560 11002221111120