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2103314432 = 2113741677
BaseRepresentation
bin111110101011110…
…0000100000000000
312102120202102222112
41331113200200000
513301422030212
6544413154452
7103056610022
oct17527404000
95376672875
102103314432
1198a2a229a
124a848ba28
132769ab66b
1415d4b0012
15c49be422
hex7d5e0800

2103314432 has 96 divisors (see below), whose sum is σ = 4431150360. Its totient is φ = 996802560.

The previous prime is 2103314429. The next prime is 2103314503. The reversal of 2103314432 is 2344133012.

It can be written as a sum of positive squares in 4 ways, for example, as 2085200896 + 18113536 = 45664^2 + 4256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2103314398 and 2103314407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3106478 + ... + 3107154.

Almost surely, 22103314432 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 2103314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215575180).

2103314432 is an abundant number, since it is smaller than the sum of its proper divisors (2327835928).

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

2103314432 is an equidigital number, since it uses as much as digits as its factorization.

2103314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2103314432 is about 45861.9061095371. The cubic root of 2103314432 is about 1281.2525239625.

Adding to 2103314432 its reverse (2344133012), we get a palindrome (4447447444).

The spelling of 2103314432 in words is "two billion, one hundred three million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 256 296 328 512 592 656 677 1024 1184 1312 1354 1517 2048 2368 2624 2708 3034 4736 5248 5416 6068 9472 10496 10832 12136 18944 20992 21664 24272 25049 27757 37888 41984 43328 48544 50098 55514 75776 83968 86656 97088 100196 111028 173312 194176 200392 222056 346624 388352 400784 444112 693248 776704 801568 888224 1027009 1386496 1553408 1603136 1776448 2054018 3106816 3206272 3552896 4108036 6412544 7105792 8216072 12825088 14211584 16432144 25650176 28423168 32864288 51300352 56846336 65728576 131457152 262914304 525828608 1051657216 2103314432