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2151111400 = 235235330469
BaseRepresentation
bin1000000000110111…
…0101101011101000
312112220200210002121
42000031311223220
513401141031100
6553241441024
7104210100544
oct20015655350
95486623077
102151111400
11a04278919
125004a0174
132838750a9
14165992a24
15c8cb151a
hex80375ae8

2151111400 has 48 divisors (see below), whose sum is σ = 5015666700. Its totient is φ = 857978880.

The previous prime is 2151111397. The next prime is 2151111401. The reversal of 2151111400 is 41111512.

It can be written as a sum of positive squares in 6 ways, for example, as 700872676 + 1450238724 = 26474^2 + 38082^2 .

It is not an unprimeable number, because it can be changed into a prime (2151111401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55366 + ... + 85834.

Almost surely, 22151111400 is an apocalyptic number.

2151111400 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 2151111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507833350).

2151111400 is an abundant number, since it is smaller than the sum of its proper divisors (2864555300).

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

2151111400 is a wasteful number, since it uses less digits than its factorization.

2151111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30838 (or 30829 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 2151111400 is about 46380.0754635005. The cubic root of 2151111400 is about 1290.8852365853.

Adding to 2151111400 its reverse (41111512), we get a palindrome (2192222912).

The spelling of 2151111400 in words is "two billion, one hundred fifty-one million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 706 1412 1765 2824 3530 7060 8825 14120 17650 30469 35300 60938 70600 121876 152345 243752 304690 609380 761725 1218760 1523450 3046900 6093800 10755557 21511114 43022228 53777785 86044456 107555570 215111140 268888925 430222280 537777850 1075555700 2151111400