Search a number
-
+
101244215400 = 233521187142157
BaseRepresentation
bin101111001001010100…
…0000010000001101000
3100200022212212000220120
41132102220002001220
53124322004343100
6114302210523240
710212632426436
oct1362250020150
9320285760816
10101244215400
1139a347a1599
1217756596520
139716515383
144c863bdd56
1529785ab0a0
hex1792a02068

101244215400 has 96 divisors (see below), whose sum is σ = 314123689440. Its totient is φ = 26975522560.

The previous prime is 101244215399. The next prime is 101244215509. The reversal of 101244215400 is 4512442101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641122 + ... + 783278.

It is an arithmetic number, because the mean of its divisors is an integer number (3272121765).

Almost surely, 2101244215400 is an apocalyptic number.

101244215400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101244215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157061844720).

101244215400 is an abundant number, since it is smaller than the sum of its proper divisors (212879474040).

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

101244215400 is a wasteful number, since it uses less digits than its factorization.

101244215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143363 (or 143354 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 101244215400 its reverse (4512442101), we get a palindrome (105756657501).

The spelling of 101244215400 in words is "one hundred one billion, two hundred forty-four million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1187 2374 3561 4748 5935 7122 9496 11870 14244 17805 23740 28488 29675 35610 47480 59350 71220 89025 118700 142157 142440 178050 237400 284314 356100 426471 568628 710785 712200 852942 1137256 1421570 1705884 2132355 2843140 3411768 3553925 4264710 5686280 7107850 8529420 10661775 14215700 17058840 21323550 28431400 42647100 85294200 168740359 337480718 506221077 674961436 843701795 1012442154 1349922872 1687403590 2024884308 2531105385 3374807180 4049768616 4218508975 5062210770 6749614360 8437017950 10124421540 12655526925 16874035900 20248843080 25311053850 33748071800 50622107700 101244215400