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100343142 = 232191811621
BaseRepresentation
bin1011111101100…
…01110101100110
320222210221220200
411332301311212
5201141440032
613542411330
72325621414
oct576616546
9228727820
10100343142
1151706319
1229730b46
1317a33a53
14d4802b4
158c2147c
hex5fb1d66

100343142 has 48 divisors (see below), whose sum is σ = 230259120. Its totient is φ = 31492800.

The previous prime is 100343141. The next prime is 100343143. The reversal of 100343142 is 241343001.

It is an interprime number because it is at equal distance from previous prime (100343141) and next prime (100343143).

It is a super-2 number, since 2×1003431422 = 20137492292864328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100343141) 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 23 ways as a sum of consecutive naturals, for example, 61092 + ... + 62712.

It is an arithmetic number, because the mean of its divisors is an integer number (4797065).

Almost surely, 2100343142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100343142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115129560).

100343142 is an abundant number, since it is smaller than the sum of its proper divisors (129915978).

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

100343142 is a wasteful number, since it uses less digits than its factorization.

100343142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100343142 is about 10017.1424068943. The cubic root of 100343142 is about 464.6891852853.

Adding to 100343142 its reverse (241343001), we get a palindrome (341686143).

The spelling of 100343142 in words is "one hundred million, three hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 181 342 362 543 1086 1621 1629 3242 3258 3439 4863 6878 9726 10317 14589 20634 29178 30799 30951 61598 61902 92397 184794 277191 293401 554382 586802 880203 1760406 2640609 5281218 5574619 11149238 16723857 33447714 50171571 100343142