Search a number
BaseRepresentation
bin100111001101111101…
…101010110100100100
311000200201202212020200
4213031331222310210
51142220202413444
631202315430500
73020346542445
oct471575526444
9130621685220
1042110201124
111694a124412
1281b2755430
133c81302694
1420769512cc
151166db6969

42110201124 has 36 divisors (see below), whose sum is σ = 106542363564. Its totient is φ = 14023924992.

The previous prime is 42110201099. The next prime is 42110201167.

42110201124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 13576910400 + 28533290724 = 116520^2 + 168918^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 42110201097 and 42110201106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493657 + ... + 572640.

It is an arithmetic number, because the mean of its divisors is an integer number (2959510099).

Almost surely, 242110201124 is an apocalyptic number.

It is an amenable number.

42110201124 is an abundant number, since it is smaller than the sum of its proper divisors (64432162440).

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

42110201124 is a wasteful number, since it uses less digits than its factorization.

42110201124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067404 (or 1067399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 42110201124 in words is "forty-two billion, one hundred ten million, two hundred one thousand, one hundred twenty-four".