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11002110002010 = 233553983782137
BaseRepresentation
bin1010000000011010000011…
…0110111100001101011010
31102221210100221222212221000
42200012200312330031122
52420224310130031020
635222144412125430
72213606353665561
oct240064066741532
942853327885830
1011002110002010
113561a722a9726
121298348466876
1361a65760465a
142a070d8a6bd8
151412cba4a090
hexa01a0dbc35a

11002110002010 has 128 divisors (see below), whose sum is σ = 29922973032960. Its totient is φ = 2875607474688.

The previous prime is 11002110002003. The next prime is 11002110002071. The reversal of 11002110002010 is 1020001120011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11002110001983 and 11002110002001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13675662 + ... + 14457798.

It is an arithmetic number, because the mean of its divisors is an integer number (233773226820).

Almost surely, 211002110002010 is an apocalyptic number.

11002110002010 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 11002110002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961486516480).

11002110002010 is an abundant number, since it is smaller than the sum of its proper divisors (18920863030950).

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

11002110002010 is a wasteful number, since it uses less digits than its factorization.

11002110002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783189 (or 783183 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11002110002010 its reverse (1020001120011), we get a palindrome (12022111122021).

The spelling of 11002110002010 in words is "eleven trillion, two billion, one hundred ten million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 983 1431 1590 1966 2385 2862 2949 4770 4915 5898 7155 8847 9830 14310 14745 17694 26541 29490 44235 52099 53082 88470 104198 132705 156297 260495 265410 312594 468891 520990 781485 782137 937782 1406673 1562970 1564274 2344455 2346411 2813346 3910685 4688910 4692822 7033365 7039233 7821370 11732055 14066730 14078466 21117699 23464110 35196165 41453261 42235398 70392330 82906522 105588495 124359783 207266305 211176990 248719566 373079349 414532610 621798915 746158698 768840671 1119238047 1243597830 1537681342 1865396745 2238476094 2306522013 3730793490 3844203355 4613044026 5596190235 6919566039 7688406710 11192380470 11532610065 13839132078 20758698117 23065220130 34597830195 40748555563 41517396234 69195660390 81497111126 103793490585 122245666689 203742777815 207586981170 244491333378 366737000067 407485555630 611228333445 733474000134 1100211000201 1222456666890 1833685000335 2200422000402 3667370000670 5501055001005 11002110002010