Search a number
-
+
11142100020 = 2235185701667
BaseRepresentation
bin10100110000001111…
…01111010000110100
31001202111211022211010
422120013233100310
5140304334200040
65041341512220
7543053200422
oct123007572064
931674738733
1011142100020
1147a8474727
1221ab572670
1310874bb7bc
14779b00112
154532ace80
hex2981ef434

11142100020 has 24 divisors (see below), whose sum is σ = 31197880224. Its totient is φ = 2971226656.

The previous prime is 11142100003. The next prime is 11142100097. The reversal of 11142100020 is 2000124111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11142099969 and 11142100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92850774 + ... + 92850893.

It is an arithmetic number, because the mean of its divisors is an integer number (1299911676).

Almost surely, 211142100020 is an apocalyptic number.

11142100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142100020 is an abundant number, since it is smaller than the sum of its proper divisors (20055780204).

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

11142100020 is a wasteful number, since it uses less digits than its factorization.

11142100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185701679 (or 185701677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11142100020 its reverse (2000124111), we get a palindrome (13142224131).

The spelling of 11142100020 in words is "eleven billion, one hundred forty-two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 185701667 371403334 557105001 742806668 928508335 1114210002 1857016670 2228420004 2785525005 3714033340 5571050010 11142100020