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100121504 = 257263853
BaseRepresentation
bin1011111011110…
…11101110100000
320222101200212212
411331323232200
5201112342004
613533541252
72324006300
oct575735640
9228350785
10100121504
115157484a
1229644828
1317986bc2
14d423600
158bca96e
hex5f7bba0

100121504 has 36 divisors (see below), whose sum is σ = 229299714. Its totient is φ = 42908544.

The previous prime is 100121473. The next prime is 100121521. The reversal of 100121504 is 405121001.

It can be written as a sum of positive squares in only one way, i.e., 98803600 + 1317904 = 9940^2 + 1148^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 30359 + ... + 33494.

Almost surely, 2100121504 is an apocalyptic number.

100121504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100121504 is an abundant number, since it is smaller than the sum of its proper divisors (129178210).

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

100121504 is an equidigital number, since it uses as much as digits as its factorization.

100121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63877 (or 63862 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 100121504 is about 10006.0733557175. The cubic root of 100121504 is about 464.3467978105.

Adding to 100121504 its reverse (405121001), we get a palindrome (505242505).

The spelling of 100121504 in words is "one hundred million, one hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 63853 127706 255412 446971 510824 893942 1021648 1787884 2043296 3128797 3575768 6257594 7151536 12515188 14303072 25030376 50060752 100121504