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101001023312 = 24717322212347
BaseRepresentation
bin101111000010000100…
…0010100111101010000
3100122200221020121002012
41132010020110331100
53123322230221222
6114222122242052
710203620350550
oct1360410247520
9318627217065
10101001023312
113991a4987a2
12176a9056328
1396a8017627
144c61d97160
15296206e1e2
hex1784214f50

101001023312 has 80 divisors (see below), whose sum is σ = 225135030912. Its totient is φ = 42998238720.

The previous prime is 101001023273. The next prime is 101001023323. The reversal of 101001023312 is 213320100101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43032923 + ... + 43035269.

Almost surely, 2101001023312 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 101001023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112567515456).

101001023312 is an abundant number, since it is smaller than the sum of its proper divisors (124134007600).

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

101001023312 is a wasteful number, since it uses less digits than its factorization.

101001023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101001023312 its reverse (213320100101), we get a palindrome (314321123413).

The spelling of 101001023312 in words is "one hundred one billion, one million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2221 2347 2422 2768 4442 4694 4844 8884 9388 9688 15547 16429 17768 18776 19376 31094 32858 35536 37552 62188 65716 124376 131432 248752 262864 384233 406031 768466 812062 1536932 1624124 2689631 2842217 3073864 3248248 5212687 5379262 5684434 6147728 6496496 10425374 10758524 11368868 20850748 21517048 22737736 36488809 41701496 43034096 45475472 72977618 83402992 145955236 291910472 583820944 901794851 1803589702 3607179404 6312563957 7214358808 12625127914 14428717616 25250255828 50500511656 101001023312