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100022124 = 22323418839
BaseRepresentation
bin1011111011000…
…11011101101100
320222012122120010
411331203131230
5201101201444
613531453220
72323113456
oct575433554
9228178503
10100022124
1151507114
12295b7210
13179508b7
14d3d92d6
158bab2b9
hex5f6376c

100022124 has 48 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 31109760.

The previous prime is 100022123. The next prime is 100022129. The reversal of 100022124 is 421220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100022123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6897 + ... + 15735.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2100022124 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 100022124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080).

100022124 is an abundant number, since it is smaller than the sum of its proper divisors (149478036).

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

100022124 is a wasteful number, since it uses less digits than its factorization.

100022124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100022124 is about 10001.1061388228. The cubic root of 100022124 is about 464.1931110077.

Adding to 100022124 its reverse (421220001), we get a palindrome (521242125).

The spelling of 100022124 in words is "one hundred million, twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1886 2829 3772 5658 8839 11316 17678 26517 35356 53034 106068 203297 362399 406594 609891 724798 813188 1087197 1219782 1449596 2174394 2439564 4348788 8335177 16670354 25005531 33340708 50011062 100022124