Search a number
-
+
1211013990 = 23458318013
BaseRepresentation
bin100100000101110…
…1001101101100110
310010101201212220000
41020023221231212
54440004421430
6320100122130
742003310014
oct11013515546
93111655800
101211013990
1157164980a
12299696346
13163b7c734
14b6b998b4
15714b3e60
hex482e9b66

1211013990 has 80 divisors (see below), whose sum is σ = 3295697328. Its totient is φ = 319028544.

The previous prime is 1211013953. The next prime is 1211014043. The reversal of 1211013990 is 993101121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58224 + ... + 76236.

Almost surely, 21211013990 is an apocalyptic number.

1211013990 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 1211013990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647848664).

1211013990 is an abundant number, since it is smaller than the sum of its proper divisors (2084683338).

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

1211013990 is a wasteful number, since it uses less digits than its factorization.

1211013990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18115 (or 18106 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 1211013990 is about 34799.6262910969. The cubic root of 1211013990 is about 1065.8998148181.

The spelling of 1211013990 in words is "one billion, two hundred eleven million, thirteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 415 498 747 810 830 1245 1494 2241 2490 3735 4482 6723 7470 11205 13446 18013 22410 33615 36026 54039 67230 90065 108078 162117 180130 270195 324234 486351 540390 810585 972702 1459053 1495079 1621170 2431755 2918106 2990158 4485237 4863510 7295265 7475395 8970474 13455711 14590530 14950790 22426185 26911422 40367133 44852370 67278555 80734266 121101399 134557110 201835665 242202798 403671330 605506995 1211013990