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203013120 = 2103513217
BaseRepresentation
bin11000001100110…
…11110000000000
3112011000010122110
430012123300000
5403432404440
632051135320
75013403662
oct1406336000
9464003573
10203013120
11a4660842
1257ba4540
13330a090b
141cd68532
1512c52080
hexc19bc00

203013120 has 88 divisors (see below), whose sum is σ = 649373904. Its totient is φ = 54132736.

The previous prime is 203013091. The next prime is 203013127. The reversal of 203013120 is 21310302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 203013096 and 203013105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203013127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8752 + ... + 21968.

Almost surely, 2203013120 is an apocalyptic number.

203013120 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 203013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324686952).

203013120 is an abundant number, since it is smaller than the sum of its proper divisors (446360784).

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

203013120 is a wasteful number, since it uses less digits than its factorization.

203013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13245 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 203013120 is about 14248.2672630745. The cubic root of 203013120 is about 587.7257270530.

Adding to 203013120 its reverse (21310302), we get a palindrome (224323422).

The spelling of 203013120 in words is "two hundred three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 13217 15360 26434 39651 52868 66085 79302 105736 132170 158604 198255 211472 264340 317208 396510 422944 528680 634416 793020 845888 1057360 1268832 1586040 1691776 2114720 2537664 3172080 3383552 4229440 5075328 6344160 6767104 8458880 10150656 12688320 13534208 16917760 20301312 25376640 33835520 40602624 50753280 67671040 101506560 203013120