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100240244104 = 237111371176303
BaseRepresentation
bin101110101011011001…
…0001011110110001000
3100120201220201000012111
41131112302023312020
53120243000302404
6114014424152104
710146022005430
oct1352662136610
9316656630174
10100240244104
113956a006050
1217516308634
1395b6517710
144bccd1b2c0
15291a393104
hex1756c8bd88

100240244104 has 128 divisors (see below), whose sum is σ = 255908782080. Its totient is φ = 35542483200.

The previous prime is 100240244087. The next prime is 100240244107. The reversal of 100240244104 is 401442042001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100240244107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480417 + ... + 656719.

It is an arithmetic number, because the mean of its divisors is an integer number (1999287360).

Almost surely, 2100240244104 is an apocalyptic number.

100240244104 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 100240244104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127954391040).

100240244104 is an abundant number, since it is smaller than the sum of its proper divisors (155668537976).

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

100240244104 is a wasteful number, since it uses less digits than its factorization.

100240244104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176411 (or 176407 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 100240244104 its reverse (401442042001), we get a palindrome (501682286105).

The spelling of 100240244104 in words is "one hundred billion, two hundred forty million, two hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 71 77 88 91 104 142 143 154 182 284 286 308 364 497 568 572 616 728 781 923 994 1001 1144 1562 1846 1988 2002 3124 3692 3976 4004 5467 6248 6461 7384 8008 10153 10934 12922 20306 21868 25844 40612 43736 51688 71071 81224 142142 176303 284284 352606 568568 705212 1234121 1410424 1939333 2291939 2468242 3878666 4583878 4936484 7757332 9167756 9872968 12517513 13575331 15514664 16043573 18335512 25035026 25211329 27150662 32087146 50070052 50422658 54301324 64174292 87622591 100140104 100845316 108602648 128348584 137692643 162727669 175245182 176479303 201690632 275385286 325455338 350490364 352958606 550770572 650910676 700980728 705917212 963848501 1101541144 1139093683 1301821352 1411834424 1790004359 1927697002 2278187366 3580008718 3855394004 4556374732 7160017436 7710788008 9112749464 12530030513 14320034872 25060061026 50120122052 100240244104