Search a number
-
+
101412352 = 29414831
BaseRepresentation
bin1100000101101…
…10111000000000
321001211021121001
412002312320000
5201430143402
614021341344
72340663556
oct602667000
9231737531
10101412352
1152276668
1229b67854
1318019612
14d67bbd6
158d83187
hex60b6e00

101412352 has 40 divisors (see below), whose sum is σ = 207611712. Its totient is φ = 49459200.

The previous prime is 101412349. The next prime is 101412371. The reversal of 101412352 is 253214101.

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, 18577 + ... + 23407.

Almost surely, 2101412352 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 101412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103805856).

101412352 is an abundant number, since it is smaller than the sum of its proper divisors (106199360).

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

101412352 is an frugal number, since it uses more digits than its factorization.

101412352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 101412352 is about 10070.3700031330. The cubic root of 101412352 is about 466.3338615814. Note that the first 3 decimals are identical.

Adding to 101412352 its reverse (253214101), we get a palindrome (354626453).

It can be divided in two parts, 1014 and 12352, that added together give a triangular number (13366 = T163).

The spelling of 101412352 in words is "one hundred one million, four hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 4831 5248 9662 10496 19324 20992 38648 77296 154592 198071 309184 396142 618368 792284 1236736 1584568 2473472 3169136 6338272 12676544 25353088 50706176 101412352