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101225412 = 223217193857
BaseRepresentation
bin1100000100010…
…01001111000100
321001110210011100
412002021033010
5201403203122
614013340100
72336254551
oct602111704
9231423140
10101225412
1152159172
1229a97630
1317c824c2
14d62da28
158d47aac
hex60893c4

101225412 has 72 divisors (see below), whose sum is σ = 272648376. Its totient is φ = 31555584.

The previous prime is 101225393. The next prime is 101225431. The reversal of 101225412 is 214522101.

101225412 is a `hidden beast` number, since 1 + 0 + 122 + 541 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (101225393) and next prime (101225431).

It can be written as a sum of positive squares in 4 ways, for example, as 38118276 + 63107136 = 6174^2 + 7944^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117688 + ... + 118544.

It is an arithmetic number, because the mean of its divisors is an integer number (3786783).

Almost surely, 2101225412 is an apocalyptic number.

101225412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101225412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136324188).

101225412 is an abundant number, since it is smaller than the sum of its proper divisors (171422964).

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

101225412 is a wasteful number, since it uses less digits than its factorization.

101225412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101225412 is about 10061.0840370211. The cubic root of 101225412 is about 466.0471441310.

Adding to 101225412 its reverse (214522101), we get a palindrome (315747513).

The spelling of 101225412 in words is "one hundred one million, two hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 306 386 579 612 772 857 1158 1714 1737 2316 2571 3281 3428 3474 5142 6562 6948 7713 9843 10284 13124 14569 15426 19686 29138 29529 30852 39372 43707 58276 59058 87414 118116 131121 165401 174828 262242 330802 496203 524484 661604 992406 1488609 1984812 2811817 2977218 5623634 5954436 8435451 11247268 16870902 25306353 33741804 50612706 101225412