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1004302450100 = 2252149271248719
BaseRepresentation
bin11101001110101010001…
…01110011110110110100
310120000021120020112110202
432213111011303312310
5112423302411400400
62045211542540032
7132362356655225
oct16472505636664
93500246215422
101004302450100
11357a16607384
12142782a37618
13739227652c1
1436873a0b24c
151b1ce3314d5
hexe9d5173db4

1004302450100 has 72 divisors (see below), whose sum is σ = 2202067392000. Its totient is φ = 397550851200.

The previous prime is 1004302450093. The next prime is 1004302450133. The reversal of 1004302450100 is 10542034001.

It is a super-2 number, since 2×10043024501002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3913541 + ... + 4162259.

Almost surely, 21004302450100 is an apocalyptic number.

1004302450100 is a gapful number since it is divisible by the number (10) 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 1004302450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101033696000).

1004302450100 is an abundant number, since it is smaller than the sum of its proper divisors (1197764941900).

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

1004302450100 is a wasteful number, since it uses less digits than its factorization.

1004302450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249153 (or 249146 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1004302450100 its reverse (10542034001), we get a palindrome (1014844484101).

The spelling of 1004302450100 in words is "one trillion, four billion, three hundred two million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 271 298 542 596 745 1084 1355 1490 2710 2980 3725 5420 6775 7450 13550 14900 27100 40379 80758 161516 201895 248719 403790 497438 807580 994876 1009475 1243595 2018950 2487190 4037900 4974380 6217975 12435950 24871900 37059131 67402849 74118262 134805698 148236524 185295655 269611396 337014245 370591310 674028490 741182620 926478275 1348056980 1685071225 1852956550 3370142450 3705913100 6740284900 10043024501 20086049002 40172098004 50215122505 100430245010 200860490020 251075612525 502151225050 1004302450100