Search a number
-
+
1211010020 = 2251129318787
BaseRepresentation
bin100100000101110…
…1000101111100100
310010101201200102222
41020023220233210
54440004310040
6320100051512
742003262313
oct11013505744
93111650388
101211010020
11571646830
12299693b98
13163b7a99c
14b6b9827a
15714b2bb5
hex482e8be4

1211010020 has 48 divisors (see below), whose sum is σ = 2783930688. Its totient is φ = 438840960.

The previous prime is 1211009951. The next prime is 1211010029. The reversal of 1211010020 is 200101121.

It is not an unprimeable number, because it can be changed into a prime (1211010029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55067 + ... + 73853.

It is an arithmetic number, because the mean of its divisors is an integer number (57998556).

Almost surely, 21211010020 is an apocalyptic number.

1211010020 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 1211010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391965344).

1211010020 is an abundant number, since it is smaller than the sum of its proper divisors (1572920668).

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

1211010020 is a wasteful number, since it uses less digits than its factorization.

1211010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19100 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1211010020 is about 34799.5692502077. The cubic root of 1211010020 is about 1065.8986500568.

Adding to 1211010020 its reverse (200101121), we get a palindrome (1411111141).

The spelling of 1211010020 in words is "one billion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 586 1172 1465 2930 3223 5860 6446 12892 16115 18787 32230 37574 64460 75148 93935 187870 206657 375740 413314 826628 1033285 2066570 4133140 5504591 11009182 22018364 27522955 55045910 60550501 110091820 121101002 242202004 302752505 605505010 1211010020