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241254332044100 = 225214916191565909
BaseRepresentation
bin110110110110101101100110…
…110000110001001101000100
31011122012200121012120222210222
4312312231212300301031010
5223110202333000402400
62213034413214403512
7101550023152004324
oct6666554660611504
91148180535528728
10241254332044100
116a964429a513a1
1223084857800598
13a48025553ca5b
144380ab4423284
151cd58a3800185
hexdb6b66c31344

241254332044100 has 36 divisors (see below), whose sum is σ = 527035470370500. Its totient is φ = 95854070175360.

The previous prime is 241254332044097. The next prime is 241254332044133. The reversal of 241254332044100 is 1440233452142.

241254332044100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 108627922590784 + 132626409453316 = 10422472^2 + 11516354^2 .

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, 8095768055 + ... + 8095797854.

Almost surely, 2241254332044100 is an apocalyptic number.

241254332044100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241254332044100 is an abundant number, since it is smaller than the sum of its proper divisors (285781138326400).

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

241254332044100 is a wasteful number, since it uses less digits than its factorization.

241254332044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16191566072 (or 16191566065 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 241254332044100 its reverse (1440233452142), we get a palindrome (242694565496242).

The spelling of 241254332044100 in words is "two hundred forty-one trillion, two hundred fifty-four billion, three hundred thirty-two million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 16191565909 32383131818 64766263636 80957829545 161915659090 323831318180 404789147725 809578295450 1619156590900 2412543320441 4825086640882 9650173281764 12062716602205 24125433204410 48250866408820 60313583011025 120627166022050 241254332044100