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100232820 = 22325556849
BaseRepresentation
bin1011111100101…
…10111001110100
320222121100120200
411332112321310
5201124422240
613540200500
72324651652
oct576267164
9228540520
10100232820
1151640446
1229699130
13179c577c
14d451dd2
158bed930
hex5f96e74

100232820 has 36 divisors (see below), whose sum is σ = 304040100. Its totient is φ = 26728704.

The previous prime is 100232801. The next prime is 100232831. The reversal of 100232820 is 28232001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62631396 + 37601424 = 7914^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100232793 and 100232802.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 278245 + ... + 278604.

Almost surely, 2100232820 is an apocalyptic number.

100232820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100232820 is an abundant number, since it is smaller than the sum of its proper divisors (203807280).

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

100232820 is a wasteful number, since it uses less digits than its factorization.

100232820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556864 (or 556859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100232820 is about 10011.6342322320. The cubic root of 100232820 is about 464.5188224064.

Adding to 100232820 its reverse (28232001), we get a palindrome (128464821).

The spelling of 100232820 in words is "one hundred million, two hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 556849 1113698 1670547 2227396 2784245 3341094 5011641 5568490 6682188 8352735 10023282 11136980 16705470 20046564 25058205 33410940 50116410 100232820