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203302113120 = 25325633722279
BaseRepresentation
bin1011110101010111000…
…0000000111101100000
3201102202110210102010100
42331111300000331200
511312330320104440
6233221245502400
720455005306651
oct2752560007540
9642673712110
10203302113120
1179246819707
1233499571a00
131622c491272
149ba888b528
15544d2e3230
hex2f55c00f60

203302113120 has 144 divisors (see below), whose sum is σ = 693909084960. Its totient is φ = 54202908672.

The previous prime is 203302113083. The next prime is 203302113121. The reversal of 203302113120 is 21311203302.

203302113120 is a `hidden beast` number, since 2 + 0 + 330 + 21 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2033021131202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203302113093 and 203302113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203302113121) by changing a digit.

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, 9114141 + ... + 9136419.

It is an arithmetic number, because the mean of its divisors is an integer number (4818813090).

Almost surely, 2203302113120 is an apocalyptic number.

203302113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203302113120 is an abundant number, since it is smaller than the sum of its proper divisors (490606971840).

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

203302113120 is a wasteful number, since it uses less digits than its factorization.

203302113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28637 (or 28626 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203302113120 its reverse (21311203302), we get a palindrome (224613316422).

The spelling of 203302113120 in words is "two hundred three billion, three hundred two million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 6337 12674 19011 22279 25348 31685 38022 44558 50696 57033 63370 66837 76044 89116 95055 101392 111395 114066 126740 133674 152088 178232 190110 200511 202784 222790 228132 253480 267348 285165 304176 334185 356464 380220 401022 445580 456264 506960 534696 570330 608352 668370 712928 760440 802044 891160 912528 1002555 1013920 1069392 1140660 1336740 1520880 1604088 1782320 1825056 2005110 2138784 2281320 2673480 3041760 3208176 3564640 4010220 4562640 5346960 6416352 8020440 9125280 10693920 16040880 32081760 141182023 282364046 423546069 564728092 705910115 847092138 1129456184 1270638207 1411820230 1694184276 2117730345 2258912368 2541276414 2823640460 3388368552 4235460690 4517824736 5082552828 5647280920 6353191035 6776737104 8470921380 10165105656 11294561840 12706382070 13553474208 16941842760 20330211312 22589123680 25412764140 33883685520 40660422624 50825528280 67767371040 101651056560 203302113120