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101030112 = 2533116933
BaseRepresentation
bin1100000010110…
…01100011100000
321001002212021000
412001121203200
5201330430422
614005232000
72334512301
oct601314340
9231085230
10101030112
1152035467
1229a02600
1317c14641
14d5bc7a8
158d09cac
hex60598e0

101030112 has 48 divisors (see below), whose sum is σ = 294673680. Its totient is φ = 33676416.

The previous prime is 101030107. The next prime is 101030117. The reversal of 101030112 is 211030101.

It is an interprime number because it is at equal distance from previous prime (101030107) and next prime (101030117).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 101030094 and 101030103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57603 + ... + 59330.

It is an arithmetic number, because the mean of its divisors is an integer number (6139035).

Almost surely, 2101030112 is an apocalyptic number.

101030112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101030112 is an abundant number, since it is smaller than the sum of its proper divisors (193643568).

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

101030112 is a wasteful number, since it uses less digits than its factorization.

101030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116952 (or 116938 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101030112 is about 10051.3736374687. The cubic root of 101030112 is about 465.7472273271.

Adding to 101030112 its reverse (211030101), we get a palindrome (312060213).

The spelling of 101030112 in words is "one hundred one million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 116933 233866 350799 467732 701598 935464 1052397 1403196 1870928 2104794 2806392 3157191 3741856 4209588 5612784 6314382 8419176 11225568 12628764 16838352 25257528 33676704 50515056 101030112