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100244434004 = 2211131712781173
BaseRepresentation
bin101110101011100001…
…0001010110001010100
3100120202012120212122222
41131113002022301110
53120300033342004
6114015054041512
710146102426041
oct1352702126124
9316665525588
10100244434004
1139571407a80
12175177a9298
1395b7353850
144bcd6cc1c8
15291a91e7be
hex175708ac54

100244434004 has 96 divisors (see below), whose sum is σ = 219941277696. Its totient is φ = 39274260480.

The previous prime is 100244433943. The next prime is 100244434013. The reversal of 100244434004 is 400434442001.

It is a happy number.

It is a super-2 number, since 2×1002444340042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1194362 + ... + 1275534.

It is an arithmetic number, because the mean of its divisors is an integer number (2291054976).

Almost surely, 2100244434004 is an apocalyptic number.

It is an amenable number.

100244434004 is an abundant number, since it is smaller than the sum of its proper divisors (119696843692).

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

100244434004 is a wasteful number, since it uses less digits than its factorization.

100244434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81345 (or 81343 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 100244434004 its reverse (400434442001), we get a palindrome (500678876005).

The spelling of 100244434004 in words is "one hundred billion, two hundred forty-four million, four hundred thirty-four thousand, four".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 127 143 187 221 254 286 374 442 508 572 748 884 1397 1651 2159 2431 2794 3302 4318 4862 5588 6604 8636 9724 18161 23749 28067 36322 47498 56134 72644 81173 94996 112268 162346 308737 324692 617474 892903 1055249 1234948 1379941 1785806 2110498 2759882 3571612 4220996 5519764 10308971 11607739 15179351 17939233 20617942 23215478 30358702 35878466 41235884 46430956 60717404 71756932 113398681 134016623 175252507 197331563 226797362 268033246 350505014 394663126 453594724 536066492 701010028 789326252 1474182853 1927777577 2278282591 2948365706 3855555154 4556565182 5896731412 7711110308 9113130364 25061108501 50122217002 100244434004