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202103132 = 227111315009
BaseRepresentation
bin11000000101111…
…01100101011100
3112002021220101012
430002331211130
5403214300012
632015434352
75002563650
oct1402754534
9462256335
10202103132
11a409a090
12578259b8
1332b4266a
141cbaca60
1512b22622
hexc0bd95c

202103132 has 48 divisors (see below), whose sum is σ = 444407040. Its totient is φ = 78124800.

The previous prime is 202103131. The next prime is 202103137. The reversal of 202103132 is 231301202.

It is a happy number.

202103132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202103131) 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, 37844 + ... + 42852.

It is an arithmetic number, because the mean of its divisors is an integer number (9258480).

Almost surely, 2202103132 is an apocalyptic number.

202103132 is a gapful number since it is divisible by the number (22) 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 202103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222203520).

202103132 is an abundant number, since it is smaller than the sum of its proper divisors (242303908).

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

202103132 is a wasteful number, since it uses less digits than its factorization.

202103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 202103132 is about 14216.2981116745. The cubic root of 202103132 is about 586.8462691900.

Adding to 202103132 its reverse (231301202), we get a palindrome (433404334).

The spelling of 202103132 in words is "two hundred two million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1441 1834 2882 3668 5009 5764 10018 10087 20036 20174 35063 40348 55099 70126 110198 140252 220396 385693 656179 771386 1312358 1542772 2624716 4593253 7217969 9186506 14435938 18373012 28871876 50525783 101051566 202103132