Search a number
-
+
100241124424 = 23773177713799
BaseRepresentation
bin101110101011011010…
…1100010110001001000
3100120201222100201202221
41131112311202301020
53120243211440144
6114014455103424
710146032333110
oct1352665426110
9316658321687
10100241124424
113956a557491
1217516671b74
1395b676530c
144bcd0aa040
15291a4b8d84
hex1756d62c48

100241124424 has 64 divisors (see below), whose sum is σ = 217883232000. Its totient is φ = 42345068544.

The previous prime is 100241124421. The next prime is 100241124437. The reversal of 100241124424 is 424421142001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100241124421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7257477 + ... + 7271275.

It is an arithmetic number, because the mean of its divisors is an integer number (3404425500).

Almost surely, 2100241124424 is an apocalyptic number.

100241124424 is a gapful number since it is divisible by the number (14) 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 100241124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108941616000).

100241124424 is an abundant number, since it is smaller than the sum of its proper divisors (117642107576).

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

100241124424 is a wasteful number, since it uses less digits than its factorization.

100241124424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15662 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 100241124424 its reverse (424421142001), we get a palindrome (524662266425).

The spelling of 100241124424 in words is "one hundred billion, two hundred forty-one million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 1777 2044 3554 4088 7108 12439 13799 14216 24878 27598 49756 55196 96593 99512 110392 129721 193186 259442 386372 518884 772744 908047 1007327 1037768 1816094 2014654 3632188 4029308 7051289 7264376 8058616 14102578 24520823 28205156 49041646 56410312 98083292 171645761 196166584 343291522 686583044 1373166088 1790020079 3580040158 7160080316 12530140553 14320160632 25060281106 50120562212 100241124424