Search a number
-
+
2111101020 = 22325719163541
BaseRepresentation
bin111110111010100…
…1101100001011100
312110010102001011200
41331311031201130
513310420213040
6545252115500
7103213030320
oct17565154134
95403361150
102111101020
11993730496
124ab005b90
132784a6902
14160539980
15c550b630
hex7dd4d85c

2111101020 has 288 divisors, whose sum is σ = 7765255680. Its totient is φ = 453496320.

The previous prime is 2111101019. The next prime is 2111101037. The reversal of 2111101020 is 201011112.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2111100993 and 2111101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3901950 + ... + 3902490.

Almost surely, 22111101020 is an apocalyptic number.

2111101020 is a gapful number since it is divisible by the number (20) 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 2111101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882627840).

2111101020 is an abundant number, since it is smaller than the sum of its proper divisors (5654154660).

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

2111101020 is a wasteful number, since it uses less digits than its factorization.

2111101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2111101020 is about 45946.7193605811. The cubic root of 2111101020 is about 1282.8316664406.

Adding to 2111101020 its reverse (201011112), we get a palindrome (2312112132).

The spelling of 2111101020 in words is "two billion, one hundred eleven million, one hundred one thousand, twenty".