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1011020022210 = 2351123397335527
BaseRepresentation
bin11101011011001010111…
…11010100000111000010
310120122121201112120000210
432231211133110013002
5113031032111202320
62052242311454550
7133021006252452
oct16554537240702
93518551476023
101011020022210
1135a853499770
12143b38687456
13744533b3743
1436d0dc49d62
151b473e5d0e0
hexeb657d41c2

1011020022210 has 128 divisors (see below), whose sum is σ = 2769088425984. Its totient is φ = 233848200960.

The previous prime is 1011020022197. The next prime is 1011020022211. The reversal of 1011020022210 is 122200201101.

It is a super-2 number, since 2×10110200222102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011020022211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2845467 + ... + 3180993.

It is an arithmetic number, because the mean of its divisors is an integer number (21633503328).

Almost surely, 21011020022210 is an apocalyptic number.

1011020022210 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 1011020022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384544212992).

1011020022210 is an abundant number, since it is smaller than the sum of its proper divisors (1758068403774).

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

1011020022210 is a wasteful number, since it uses less digits than its factorization.

1011020022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335968.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1011020022210 its reverse (122200201101), we get a palindrome (1133220223311).

The spelling of 1011020022210 in words is "one trillion, eleven billion, twenty million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 397 506 690 759 794 1191 1265 1518 1985 2382 2530 3795 3970 4367 5955 7590 8734 9131 11910 13101 18262 21835 26202 27393 43670 45655 54786 65505 91310 100441 131010 136965 200882 273930 301323 335527 502205 602646 671054 1004410 1006581 1506615 1677635 2013162 3013230 3355270 3690797 5032905 7381594 7717121 10065810 11072391 15434242 18453985 22144782 23151363 36907970 38585605 46302726 55361955 77171210 84888331 110723910 115756815 133204219 169776662 231513630 254664993 266408438 399612657 424441655 509329986 666021095 799225314 848883310 1273324965 1332042190 1465246409 1998063285 2546649930 2930492818 3063697037 3996126570 4395739227 6127394074 7326232045 8791478454 9191091111 14652464090 15318485185 18382182222 21978696135 30636970370 33700667407 43957392270 45955455555 67401334814 91910911110 101102002221 168503337035 202204004442 337006674070 505510011105 1011020022210