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203122201320 = 233252572195441
BaseRepresentation
bin1011110100101100000…
…1101101001011101000
3201102021221020221112100
42331023001231023220
511311443240420240
6233151341413400
720450362136523
oct2751301551350
9642257227470
10203122201320
1179164207275
123344926a260
131620111b58c
149b8ca17bba
15543c605e30
hex2f4b06d2e8

203122201320 has 96 divisors (see below), whose sum is σ = 662716122120. Its totient is φ = 53955133440.

The previous prime is 203122201307. The next prime is 203122201343. The reversal of 203122201320 is 23102221302.

203122201320 is a `hidden beast` number, since 2 + 0 + 312 + 220 + 132 + 0 = 666.

203122201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 194179472964 + 8942728356 = 440658^2 + 94566^2 .

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 = 203122201293 and 203122201302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005201 + ... + 1190240.

Almost surely, 2203122201320 is an apocalyptic number.

203122201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203122201320 is an abundant number, since it is smaller than the sum of its proper divisors (459593920800).

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

203122201320 is a wasteful number, since it uses less digits than its factorization.

203122201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195715 (or 2195708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203122201320 its reverse (23102221302), we get a palindrome (226224422622).

The spelling of 203122201320 in words is "two hundred three billion, one hundred twenty-two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 257 360 514 771 1028 1285 1542 2056 2313 2570 3084 3855 4626 5140 6168 7710 9252 10280 11565 15420 18504 23130 30840 46260 92520 2195441 4390882 6586323 8781764 10977205 13172646 17563528 19758969 21954410 26345292 32931615 39517938 43908820 52690584 65863230 79035876 87817640 98794845 131726460 158071752 197589690 263452920 395179380 564228337 790358760 1128456674 1692685011 2256913348 2821141685 3385370022 4513826696 5078055033 5642283370 6770740044 8463425055 10156110066 11284566740 13541480088 16926850110 20312220132 22569133480 25390275165 33853700220 40624440264 50780550330 67707400440 101561100660 203122201320