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101030436 = 223313227317
BaseRepresentation
bin1100000010110…
…01101000100100
321001002212201000
412001121220210
5201330433221
614005233300
72334513243
oct601315044
9231085630
10101030436
1152035731
1229a02830
1317c14830
14d5bc95a
158d09e26
hex6059a24

101030436 has 96 divisors (see below), whose sum is σ = 284215680. Its totient is φ = 30851712.

The previous prime is 101030417. The next prime is 101030441. The reversal of 101030436 is 634030101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318550 + ... + 318866.

It is an arithmetic number, because the mean of its divisors is an integer number (2960580).

Almost surely, 2101030436 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 101030436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107840).

101030436 is an abundant number, since it is smaller than the sum of its proper divisors (183185244).

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

101030436 is a wasteful number, since it uses less digits than its factorization.

101030436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 101030436 is about 10051.3897546558. The cubic root of 101030436 is about 465.7477252048.

Adding to 101030436 its reverse (634030101), we get a palindrome (735060537).

The spelling of 101030436 in words is "one hundred one million, thirty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 227 234 317 351 454 468 634 681 702 908 951 1268 1362 1404 1902 2043 2724 2853 2951 3804 4086 4121 5706 5902 6129 8172 8242 8559 8853 11412 11804 12258 12363 16484 17118 17706 24516 24726 26559 34236 35412 37089 49452 53118 71959 74178 79677 106236 111267 143918 148356 159354 215877 222534 287836 318708 431754 445068 647631 863508 935467 1295262 1870934 1942893 2590524 2806401 3741868 3885786 5612802 7771572 8419203 11225604 16838406 25257609 33676812 50515218 101030436