Search a number
-
+
1102040100 = 223352758309
BaseRepresentation
bin100000110101111…
…1100110000100100
32211210200102211000
41001223330300210
54224110240400
6301204313300
736211120620
oct10153746044
92753612730
101102040100
11516089047
122690a2830
13147416445
14a6510180
1566b3a600
hex41afcc24

1102040100 has 144 divisors (see below), whose sum is σ = 4049046400. Its totient is φ = 251890560.

The previous prime is 1102040099. The next prime is 1102040117. The reversal of 1102040100 is 10402011.

It is a happy number.

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

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, 10255 + ... + 48054.

Almost surely, 21102040100 is an apocalyptic number.

1102040100 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 1102040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024523200).

1102040100 is an abundant number, since it is smaller than the sum of its proper divisors (2947006300).

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

1102040100 is a wasteful number, since it uses less digits than its factorization.

1102040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58339 (or 58326 counting only the distinct ones).

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

The square root of 1102040100 is about 33196.9893213225. The cubic root of 1102040100 is about 1032.9178894190.

Adding to 1102040100 its reverse (10402011), we get a palindrome (1112442111).

The spelling of 1102040100 in words is "one billion, one hundred two million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 58309 116618 174927 233236 291545 349854 408163 524781 583090 699708 816326 874635 1049562 1166180 1224489 1457725 1574343 1632652 1749270 2040815 2099124 2448978 2623905 2915450 3148686 3498540 3673467 4081630 4373175 4897956 5247810 5830900 6122445 6297372 7346934 7871715 8163260 8746350 10204075 10495620 11020401 12244890 13119525 14693868 15743430 17492700 18367335 20408150 22040802 24489780 26239050 30612225 31486860 36734670 39358575 40816300 44081604 52478100 55102005 61224450 73469340 78717150 91836675 110204010 122448900 157434300 183673350 220408020 275510025 367346700 551020050 1102040100