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203141444532 = 223135354744917
BaseRepresentation
bin1011110100110000101…
…1000111001110110100
3201102100021110121020220
42331030023013032310
511312013202211112
6233153310054340
720451014534265
oct2751413071664
9642307417226
10203141444532
117917405aa54
12334537aa3b0
13162050c83b0
149b913c696c
15543e15798c
hex2f4c2c73b4

203141444532 has 96 divisors (see below), whose sum is σ = 521051674752. Its totient is φ = 61212243456.

The previous prime is 203141444509. The next prime is 203141444573. The reversal of 203141444532 is 235444141302.

It is a junction number, because it is equal to n+sod(n) for n = 203141444493 and 203141444502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4500138 + ... + 4545054.

It is an arithmetic number, because the mean of its divisors is an integer number (5427621612).

Almost surely, 2203141444532 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 203141444532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260525837376).

203141444532 is an abundant number, since it is smaller than the sum of its proper divisors (317910230220).

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

203141444532 is a wasteful number, since it uses less digits than its factorization.

203141444532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45537 (or 45535 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 203141444532 its reverse (235444141302), we get a palindrome (438585585834).

The spelling of 203141444532 in words is "two hundred three billion, one hundred forty-one million, four hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 547 636 689 1094 1378 1641 2067 2188 2756 3282 4134 6564 7111 8268 14222 21333 28444 28991 42666 44917 57982 85332 86973 89834 115964 134751 173946 179668 269502 347892 376883 539004 583921 753766 1130649 1167842 1507532 1751763 2261298 2335684 2380601 3503526 4522596 4761202 7007052 7141803 9522404 14283606 24569599 28567212 30947813 49139198 61895626 73708797 92843439 98278396 123791252 147417594 185686878 294835188 319404787 371373756 638809574 958214361 1277619148 1302188747 1916428722 2604377494 3832857444 3906566241 5208754988 7813132482 15626264964 16928453711 33856907422 50785361133 67713814844 101570722266 203141444532