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11220002112210 = 23537193148735221
BaseRepresentation
bin1010001101000101110000…
…1111011000001011010010
31110201121210020102221110120
42203101130033120023102
52432312031020042320
635510221532211110
72235422053242303
oct243213417301322
943647706387416
1011220002112210
113636415762061
121312618009a96
136350706aa388
142ab09dd2c7aa
15146cd0b65440
hexa345c3d82d2

11220002112210 has 128 divisors (see below), whose sum is σ = 27818567783424. Its totient is φ = 2894022328320.

The previous prime is 11220002112203. The next prime is 11220002112227. The reversal of 11220002112210 is 1221120002211.

It is a super-2 number, since 2×112200021122102 (a number of 27 digits) contains 22 as substring.

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 11220002112210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318542400 + ... + 318577620.

It is an arithmetic number, because the mean of its divisors is an integer number (217332560808).

Almost surely, 211220002112210 is an apocalyptic number.

11220002112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220002112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13909283891712).

11220002112210 is an abundant number, since it is smaller than the sum of its proper divisors (16598565671214).

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

11220002112210 is a wasteful number, since it uses less digits than its factorization.

11220002112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36948.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11220002112210 its reverse (1221120002211), we get a palindrome (12441122114421).

The spelling of 11220002112210 in words is "eleven trillion, two hundred twenty billion, two million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 193 222 370 386 555 579 965 1110 1158 1487 1930 2895 2974 4461 5790 7141 7435 8922 14282 14870 21423 22305 35221 35705 42846 44610 55019 70442 71410 105663 107115 110038 165057 176105 211326 214230 275095 286991 330114 352210 528315 550190 573982 825285 860973 1056630 1303177 1434955 1650570 1721946 2606354 2869910 3909531 4304865 6515885 6797653 7819062 8609730 10618667 13031770 13595306 19547655 20392959 21237334 31856001 33988265 39095310 40785918 52373627 53093335 63712002 67976530 101964795 104747254 106186670 157120881 159280005 203929590 251513161 261868135 314241762 318560010 503026322 523736270 754539483 785604405 1257565805 1509078966 1571208810 1937824199 2515131610 3772697415 3875648398 5813472597 7545394830 9689120995 10108110011 11626945194 19378241990 20216220022 29067362985 30324330033 50540550055 58134725970 60648660066 101081100110 151621650165 303243300330 374000070407 748000140814 1122000211221 1870000352035 2244000422442 3740000704070 5610001056105 11220002112210