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203121096 = 2331923107181
BaseRepresentation
bin11000001101101…
…10000111001000
3112011012121202120
430012312013020
5403444333341
632053331240
75014333533
oct1406660710
9464177676
10203121096
11a4724982
1258036b20
133310aac9
141cd95a1a
1512c74066
hexc1b61c8

203121096 has 128 divisors (see below), whose sum is σ = 566092800. Its totient is φ = 60445440.

The previous prime is 203121089. The next prime is 203121097. The reversal of 203121096 is 690121302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (203121097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122126 + ... + 1122306.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2203121096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203121096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

203121096 is an abundant number, since it is smaller than the sum of its proper divisors (362971704).

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

203121096 is a wasteful number, since it uses less digits than its factorization.

203121096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 203121096 is about 14252.0558517008. The cubic root of 203121096 is about 587.8299059120.

Adding to 203121096 its reverse (690121302), we get a palindrome (893242398).

The spelling of 203121096 in words is "two hundred three million, one hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 107 114 138 152 181 184 214 228 276 321 362 428 437 456 543 552 642 724 856 874 1086 1284 1311 1448 1748 2033 2172 2461 2568 2622 3439 3496 4066 4163 4344 4922 5244 6099 6878 7383 8132 8326 9844 10317 10488 12198 12489 13756 14766 16264 16652 19367 19688 20634 24396 24978 27512 29532 33304 38734 41268 46759 48792 49956 58101 59064 77468 79097 82536 93518 99912 116202 140277 154936 158194 187036 232404 237291 280554 316388 367973 374072 445441 464808 474582 561108 632776 735946 890882 949164 1103919 1122216 1336323 1471892 1781764 1898328 2207838 2672646 2943784 3563528 4415676 5345292 8463379 8831352 10690584 16926758 25390137 33853516 50780274 67707032 101560548 203121096