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1102210020 = 2232537167991
BaseRepresentation
bin100000110110010…
…0110001111100100
32211211000001220100
41001230212033210
54224131210040
6301212104100
736212426202
oct10154461744
92754001810
101102210020
1151619477a
12269165030
131474758a2
14a6556072
1566b70b30
hex41b263e4

1102210020 has 144 divisors (see below), whose sum is σ = 3457778688. Its totient is φ = 283979520.

The previous prime is 1102210009. The next prime is 1102210049. The reversal of 1102210020 is 200122011.

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 = 1102209984 and 1102210011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111725 + ... + 1112715.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 21102210020 is an apocalyptic number.

1102210020 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 1102210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728889344).

1102210020 is an abundant number, since it is smaller than the sum of its proper divisors (2355568668).

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

1102210020 is a wasteful number, since it uses less digits than its factorization.

1102210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1102210020 is about 33199.5484909057. The cubic root of 1102210020 is about 1032.9709741140.

Adding to 1102210020 its reverse (200122011), we get a palindrome (1302332031).

The spelling of 1102210020 in words is "one billion, one hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 167 180 185 222 333 334 370 444 501 555 666 668 740 835 991 1002 1110 1332 1503 1665 1670 1982 2004 2220 2505 2973 3006 3330 3340 3964 4955 5010 5946 6012 6179 6660 7515 8919 9910 10020 11892 12358 14865 15030 17838 18537 19820 24716 29730 30060 30895 35676 36667 37074 44595 55611 59460 61790 73334 74148 89190 92685 110001 111222 123580 146668 165497 178380 183335 185370 220002 222444 278055 330003 330994 366670 370740 440004 496491 550005 556110 660006 661988 733340 827485 992982 1100010 1112220 1320012 1489473 1650015 1654970 1985964 2200020 2482455 2978946 3300030 3309940 4964910 5957892 6123389 6600060 7447365 9929820 12246778 14894730 18370167 24493556 29789460 30616945 36740334 55110501 61233890 73480668 91850835 110221002 122467780 183701670 220442004 275552505 367403340 551105010 1102210020