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203074168100 = 225217443269651
BaseRepresentation
bin1011110100100000101…
…0011110010100100100
3201102011120212121100012
42331020022132110210
511311343441334400
6233142504105352
720446236643136
oct2751012362444
9642146777305
10203074168100
117913a08a1a1
1233435165258
13161c41a145b
149b864b3056
1554382b8d35
hex2f4829e524

203074168100 has 72 divisors (see below), whose sum is σ = 467647756128. Its totient is φ = 76278592000.

The previous prime is 203074168093. The next prime is 203074168153. The reversal of 203074168100 is 1861470302.

It is a super-2 number, since 2×2030741681002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618275 + ... + 887925.

It is an arithmetic number, because the mean of its divisors is an integer number (6495107724).

Almost surely, 2203074168100 is an apocalyptic number.

203074168100 is a gapful number since it is divisible by the number (20) 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 203074168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233823878064).

203074168100 is an abundant number, since it is smaller than the sum of its proper divisors (264573588028).

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

203074168100 is a wasteful number, since it uses less digits than its factorization.

203074168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270125 (or 270118 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 203074168100 in words is "two hundred three billion, seventy-four million, one hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 443 850 886 1700 1772 2215 4430 7531 8860 11075 15062 22150 30124 37655 44300 75310 150620 188275 269651 376550 539302 753100 1078604 1348255 2696510 4584067 5393020 6741275 9168134 13482550 18336268 22920335 26965100 45840670 91681340 114601675 119455393 229203350 238910786 458406700 477821572 597276965 1194553930 2030741681 2389107860 2986384825 4061483362 5972769650 8122966724 10153708405 11945539300 20307416810 40614833620 50768542025 101537084050 203074168100