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101123412 = 223131722243
BaseRepresentation
bin1100000011100…
…00010101010100
321001021121020120
412001300111110
5201341422122
614011231540
72335351305
oct601602524
9231247216
10101123412
1152099575
1229a485b0
1317c47c50
14d6047ac
158d2775c
hex6070554

101123412 has 72 divisors (see below), whose sum is σ = 270051936. Its totient is φ = 29271552.

The previous prime is 101123411. The next prime is 101123431. The reversal of 101123412 is 214321101.

It is a junction number, because it is equal to n+sod(n) for n = 101123391 and 101123400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43963 + ... + 46205.

Almost surely, 2101123412 is an apocalyptic number.

101123412 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 101123412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135025968).

101123412 is an abundant number, since it is smaller than the sum of its proper divisors (168928524).

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

101123412 is a wasteful number, since it uses less digits than its factorization.

101123412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101123412 is about 10056.0137231410. The cubic root of 101123412 is about 465.8905537269.

Adding to 101123412 its reverse (214321101), we get a palindrome (315444513).

The spelling of 101123412 in words is "one hundred one million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 289 442 578 663 867 884 1156 1326 1734 2243 2652 3468 3757 4486 6729 7514 8972 11271 13458 15028 22542 26916 29159 38131 45084 58318 76262 87477 114393 116636 152524 174954 228786 349908 457572 495703 648227 991406 1296454 1487109 1944681 1982812 2592908 2974218 3889362 5948436 7778724 8426951 16853902 25280853 33707804 50561706 101123412