Search a number
-
+
43002242100 = 2232521923313527
BaseRepresentation
bin101000000011001000…
…100010010000110100
311002222220022020102100
4220003020202100310
51201032033221400
631431023142100
73051431012136
oct500310422064
9132886266370
1043002242100
111726770aa64
128401444930
13409407048c
14211d1d9056
1511ba370100
hexa03222434

43002242100 has 432 divisors, whose sum is σ = 152870215680. Its totient is φ = 10053331200.

The previous prime is 43002242071. The next prime is 43002242113. The reversal of 43002242100 is 124220034.

43002242100 is a `hidden beast` number, since 430 + 0 + 2 + 24 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12190537 + ... + 12194063.

It is an arithmetic number, because the mean of its divisors is an integer number (353866240).

Almost surely, 243002242100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43002242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76435107840).

43002242100 is an abundant number, since it is smaller than the sum of its proper divisors (109867973580).

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

43002242100 is a wasteful number, since it uses less digits than its factorization.

43002242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 43002242100 its reverse (124220034), we get a palindrome (43126462134).

The spelling of 43002242100 in words is "forty-three billion, two million, two hundred forty-two thousand, one hundred".