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1103108004 = 2233194191283
BaseRepresentation
bin100000111000000…
…0001011110100100
32211212200200201000
41001300001132210
54224343424004
6301243233300
736223156215
oct10160013644
92755620630
101103108004
11516748409
12269518830
131476cb53b
14a670b40c
1566c9bc39
hex41c017a4

1103108004 has 96 divisors (see below), whose sum is σ = 3019968000. Its totient is φ = 347247648.

The previous prime is 1103107987. The next prime is 1103108011. The reversal of 1103108004 is 4008013011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859147 + ... + 860429.

It is an arithmetic number, because the mean of its divisors is an integer number (31458000).

Almost surely, 21103108004 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 1103108004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509984000).

1103108004 is an abundant number, since it is smaller than the sum of its proper divisors (1916859996).

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

1103108004 is a wasteful number, since it uses less digits than its factorization.

1103108004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1103108004 is about 33213.0697768213. The cubic root of 1103108004 is about 1033.2514226667.

The spelling of 1103108004 in words is "one billion, one hundred three million, one hundred eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 419 513 684 838 1026 1257 1283 1676 2052 2514 2566 3771 3849 5028 5132 7542 7698 7961 11313 11547 15084 15396 15922 22626 23094 23883 24377 31844 34641 45252 46188 47766 48754 69282 71649 73131 95532 97508 138564 143298 146262 214947 219393 286596 292524 429894 438786 537577 658179 859788 877572 1075154 1316358 1612731 2150308 2632716 3225462 4838193 6450924 9676386 10213963 14514579 19352772 20427926 29029158 30641889 40855852 58058316 61283778 91925667 122567556 183851334 275777001 367702668 551554002 1103108004