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101146472 = 237532643
BaseRepresentation
bin1100000011101…
…01111101101000
321001022202212122
412001311331220
5201343141342
614011530412
72335505450
oct601657550
9231282778
10101146472
1152104929
1229a59a08
1317c555ab
14d60cd60
158d2e4d2
hex6075f68

101146472 has 48 divisors (see below), whose sum is σ = 221252640. Its totient is φ = 42464448.

The previous prime is 101146471. The next prime is 101146489. The reversal of 101146472 is 274641101.

It is not an unprimeable number, because it can be changed into a prime (101146471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156983 + ... + 157625.

It is an arithmetic number, because the mean of its divisors is an integer number (4609430).

Almost surely, 2101146472 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 101146472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110626320).

101146472 is an abundant number, since it is smaller than the sum of its proper divisors (120106168).

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

101146472 is an equidigital number, since it uses as much as digits as its factorization.

101146472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 101146472 is about 10057.1602353746. The cubic root of 101146472 is about 465.9259646485.

Adding to 101146472 its reverse (274641101), we get a palindrome (375787573).

The spelling of 101146472 in words is "one hundred one million, one hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 643 742 1286 1484 2572 2809 2968 4501 5144 5618 9002 11236 18004 19663 22472 34079 36008 39326 68158 78652 136316 157304 238553 272632 477106 954212 1806187 1908424 3612374 7224748 12643309 14449496 25286618 50573236 101146472