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101401472 = 27978167
BaseRepresentation
bin1100000101101…
…00001110000000
321001210201200002
412002310032000
5201424321342
614021215132
72340620054
oct602641600
9231721602
10101401472
1152269477
1229b614a8
1318014693
14d677c64
158d7ed32
hex60b4380

101401472 has 32 divisors (see below), whose sum is σ = 204118320. Its totient is φ = 50171904.

The previous prime is 101401463. The next prime is 101401507. The reversal of 101401472 is 274104101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8333 + ... + 16499.

Almost surely, 2101401472 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 101401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102059160).

101401472 is an abundant number, since it is smaller than the sum of its proper divisors (102716848).

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

101401472 is an frugal number, since it uses more digits than its factorization.

101401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 101401472 is about 10069.8297900213. The cubic root of 101401472 is about 466.3171841460.

Adding to 101401472 its reverse (274104101), we get a palindrome (375505573).

The spelling of 101401472 in words is "one hundred one million, four hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 8167 12416 16334 32668 65336 130672 261344 522688 792199 1045376 1584398 3168796 6337592 12675184 25350368 50700736 101401472