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1102198680 = 2332511225303
BaseRepresentation
bin100000110110010…
…0011011110011000
32211210222111100100
41001230203132120
54224130324210
6301211535400
736212351142
oct10154433630
92753874310
101102198680
11516187200
1226915a560
1314747068b
14a6551c92
1566b6c5c0
hex41b23798

1102198680 has 144 divisors (see below), whose sum is σ = 3937555440. Its totient is φ = 267189120.

The previous prime is 1102198673. The next prime is 1102198687. The reversal of 1102198680 is 868912011.

It is an interprime number because it is at equal distance from previous prime (1102198673) and next prime (1102198687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102198687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30909 + ... + 56211.

It is an arithmetic number, because the mean of its divisors is an integer number (27344135).

Almost surely, 21102198680 is an apocalyptic number.

1102198680 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 1102198680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968777720).

1102198680 is an abundant number, since it is smaller than the sum of its proper divisors (2835356760).

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

1102198680 is a wasteful number, since it uses less digits than its factorization.

1102198680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25342 (or 25324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1102198680 is about 33199.3777050113. The cubic root of 1102198680 is about 1032.9674315554.

The spelling of 1102198680 in words is "one billion, one hundred two million, one hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 25303 43560 50606 75909 101212 126515 151818 202424 227727 253030 278333 303636 379545 455454 506060 556666 607272 759090 834999 910908 1012120 1113332 1138635 1391665 1518180 1669998 1821816 2226664 2277270 2504997 2783330 3036360 3061663 3339996 4174995 4554540 5009994 5566660 6123326 6679992 8349990 9109080 9184989 10019988 11133320 12246652 12524985 15308315 16699980 18369978 20039976 24493304 25049970 27554967 30616630 33399960 36739956 45924945 50099940 55109934 61233260 73479912 91849890 100199880 110219868 122466520 137774835 183699780 220439736 275549670 367399560 551099340 1102198680