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100203201 = 3274347787
BaseRepresentation
bin1011111100011…
…11101011000001
320222112211221200
411332033223001
5201123000301
613535411413
72324466420
oct576175301
9228484850
10100203201
115162016a
1229683b69
13179b5147
14d4452b7
158be4c86
hex5f8fac1

100203201 has 48 divisors (see below), whose sum is σ = 173082624. Its totient is φ = 54667872.

The previous prime is 100203199. The next prime is 100203247. The reversal of 100203201 is 102302001.

It is a happy number.

It is not a de Polignac number, because 100203201 - 21 = 100203199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100203251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126930 + ... + 127716.

It is an arithmetic number, because the mean of its divisors is an integer number (3605888).

Almost surely, 2100203201 is an apocalyptic number.

It is an amenable number.

100203201 is a deficient number, since it is larger than the sum of its proper divisors (72879423).

100203201 is a wasteful number, since it uses less digits than its factorization.

100203201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100203201 is about 10010.1548939065. The cubic root of 100203201 is about 464.4730624831.

Adding to 100203201 its reverse (102302001), we get a palindrome (202505202).

The spelling of 100203201 in words is "one hundred million, two hundred three thousand, two hundred one".

Divisors: 1 3 7 9 21 43 47 63 129 141 301 329 387 423 787 903 987 2021 2361 2709 2961 5509 6063 7083 14147 16527 18189 33841 36989 42441 49581 101523 110967 127323 236887 258923 304569 332901 710661 776769 1590527 2131983 2330307 4771581 11133689 14314743 33401067 100203201