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1102000200 = 233527237483
BaseRepresentation
bin100000110101111…
…0011000001001000
32211210121102002020
41001223303001020
54224103001300
6301203404440
736210563400
oct10153630110
92753542066
101102000200
11516061074
12269083720
13147401232
14a64dd800
1566b2d8a0
hex41af3048

1102000200 has 144 divisors (see below), whose sum is σ = 3974053680. Its totient is φ = 251879040.

The previous prime is 1102000181. The next prime is 1102000217. The reversal of 1102000200 is 20002011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10659 + ... + 48141.

It is an arithmetic number, because the mean of its divisors is an integer number (27597595).

Almost surely, 21102000200 is an apocalyptic number.

1102000200 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 1102000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987026840).

1102000200 is an abundant number, since it is smaller than the sum of its proper divisors (2872053480).

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

1102000200 is a wasteful number, since it uses less digits than its factorization.

1102000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37516 (or 37500 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1102000200 is about 33196.3883577717. The cubic root of 1102000200 is about 1032.9054234718.

Adding to 1102000200 its reverse (20002011), we get a palindrome (1122002211).

It can be divided in two parts, 1 and 102000200, that added together give a palindrome (102000201).

The spelling of 1102000200 in words is "one billion, one hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 37483 74966 112449 149932 187415 224898 262381 299864 374830 449796 524762 562245 749660 787143 899592 937075 1049524 1124490 1311905 1499320 1574286 1836667 1874150 2099048 2248980 2623810 2811225 3148572 3673334 3748300 3935715 4497960 5247620 5510001 5622450 6297144 6559525 7346668 7496600 7871430 9183335 10495240 11020002 11244900 13119050 14693336 15742860 18366670 19678575 22040004 22489800 26238100 27550005 31485720 36733340 39357150 44080008 45916675 52476200 55100010 73466680 78714300 91833350 110200020 137750025 157428600 183666700 220400040 275500050 367333400 551000100 1102000200