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1101220122210 = 2351316337945707
BaseRepresentation
bin10000000001100101110…
…101011000111001100010
310220021102220221101202020
4100001211311120321202
5121020244322402320
62201521001002310
7142363155411105
oct20014565307142
93807386841666
101101220122210
1139503006095a
12159510483396
137cac97c6690
143b42955473c
151d9a2b63940
hex10065d58e62

1101220122210 has 128 divisors (see below), whose sum is σ = 2871310740480. Its totient is φ = 268689851136.

The previous prime is 1101220122073. The next prime is 1101220122217. The reversal of 1101220122210 is 122210221011.

It is a super-3 number, since 3×11012201222103 (a number of 37 digits) contains 333 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 1101220122210.

It is not an unprimeable number, because it can be changed into a prime (1101220122217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24070177 + ... + 24115883.

It is an arithmetic number, because the mean of its divisors is an integer number (22432115160).

Almost surely, 21101220122210 is an apocalyptic number.

1101220122210 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 1101220122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435655370240).

1101220122210 is an abundant number, since it is smaller than the sum of its proper divisors (1770090618270).

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

1101220122210 is a wasteful number, since it uses less digits than its factorization.

1101220122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46272.

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

Adding to 1101220122210 its reverse (122210221011), we get a palindrome (1223430343221).

The spelling of 1101220122210 in words is "one trillion, one hundred one billion, two hundred twenty million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 163 195 326 379 390 489 758 815 978 1137 1630 1895 2119 2274 2445 3790 4238 4890 4927 5685 6357 9854 10595 11370 12714 14781 21190 24635 29562 31785 45707 49270 61777 63570 73905 91414 123554 137121 147810 185331 228535 274242 308885 370662 457070 594191 617770 685605 803101 926655 1188382 1371210 1606202 1782573 1853310 2409303 2970955 3565146 4015505 4818606 5941910 7450241 8031010 8912865 12046515 14900482 17322953 17825730 22350723 24093030 34645906 37251205 44701446 51968859 74502410 86614765 96853133 103937718 111753615 173229530 193706266 223507230 225198389 259844295 290559399 450396778 484265665 519688590 581118798 675595167 968531330 1125991945 1351190334 1452796995 2251983890 2823641339 2905593990 3377975835 5647282678 6755951670 8470924017 14118206695 16941848034 28236413390 36707337407 42354620085 73414674814 84709240170 110122012221 183536687035 220244024442 367073374070 550610061105 1101220122210